Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic...

182

Transcript of Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic...

Page 1: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =
Page 2: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

3) f (x) = x2 + 8x + 18

−6 −5 −4 −3 −2 −1 0 1

1

2

3

4

5

6

7

4) f (x) = x2 − 4x + 5

−1 0 1 2 3 4 5

1

2

3

4

5

6

5) f (x) = x2 + 8x + 15

−6 −5 −4 −3 −2 −1 0 1

−3

−2

−1

1

2

3

4

5

6) f (x) = x2 + 2x + 4

−4 −3 −2 −1 0 1 2 3 4

1

2

3

4

5

6

7

8

-2-

Page 3: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

7) f (x) = x2 + 8x + 14

−6 −5 −4 −3 −2 −1 0 1

−4

−3

−2

−1

1

2

3

4

8) f (x) = x2 − 2x

−2 −1 0 1 2 3 4

−2

−1

1

2

3

4

9) f (x) = x2 + 4x + 7

−6 −5 −4 −3 −2 −1 0 1 2

1

2

3

4

5

6

7

8

10) f (x) = x2 − 8x + 13

−1 0 1 2 3 4 5 6

−5

−4

−3

−2

−1

1

2

3

-3-

Page 4: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

11) f (x) = x2 + 6x + 11

−6 −5 −4 −3 −2 −1 0

1

2

3

4

5

6

7

12) f (x) = x2 − 2x − 2

−2 −1 0 1 2 3 4

−4

−3

−2

−1

1

2

13) f (x) = x2 − 6x + 5

0 1 2 3 4 5 6

−5

−4

−3

−2

−1

1

14) f (x) = x2 − 4x + 8

−1 0 1 2 3 4 5 6 7

1

2

3

4

5

6

7

8

9

-4-

Page 5: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

15) f (x) = x2 + 8x + 17

−6 −5 −4 −3 −2 −1 0 1

−1

1

2

3

4

5

6

7

16) f (x) = x2 + 2x − 1

−4 −3 −2 −1 0 1 2

−3

−2

−1

1

2

3

17) f (x) = x2 − 2x + 5

−2 −1 0 1 2 3 4 5 6

1

2

3

4

5

6

7

8

9

18) f (x) = x2 + 8x + 20

−9 −8 −7 −6 −5 −4 −3 −2 −1 0

1

2

3

4

5

6

7

8

9

-5-

Page 6: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

19) f (x) = x2 + 4x + 1

−4 −3 −2 −1 0 1 2

−4

−3

−2

−1

1

2

20) f (x) = x2 − 8x + 15

−1 0 1 2 3 4 5 6

−3

−2

−1

1

2

3

4

5

21) f (x) = x2 − 2x + 4

−5 −4 −3 −2 −1 0 1 2 3

1

2

3

4

5

6

7

8

22) f (x) = x2 + 6x + 5

−6 −5 −4 −3 −2 −1 0

−5

−4

−3

−2

−1

1

-6-

Page 7: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

23) f (x) = x2 − 6x + 8

−1 0 1 2 3 4 5

−2

−1

1

2

3

4

24) f (x) = x2 − 4x + 2

−1 0 1 2 3 4 5

−3

−2

−1

1

2

3

25) f (x) = x2 + 2x + 2

−5 −4 −3 −2 −1 0 1

1

2

3

4

5

6

26) f (x) = x2 + 4x + 5

−6 −5 −4 −3 −2 −1 0

1

2

3

4

5

6

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Page 8: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

27) f (x) = x2 − 2x − 3

−1 0 1 2 3 4 5

−5

−4

−3

−2

−1

1

28) f (x) = x2 − 8x + 19

−1 0 1 2 3 4 5 6

1

2

3

4

5

6

7

8

29) f (x) = x2 + 2x + 5

−4 −3 −2 −1 0 1 2 3 4

1

2

3

4

5

6

7

8

9

30) f (x) = x2 − 2x + 2

−2 −1 0 1 2 3 4

1

2

3

4

5

6

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Page 9: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

31) f (x) = x2 − 6x + 6

−1 0 1 2 3 4 5

−4

−3

−2

−1

1

2

32) f (x) = x2 + 6x + 10

−6 −5 −4 −3 −2 −1 0

1

2

3

4

5

6

33) f (x) = x2 − 4x

−1 0 1 2 3 4 5

−5

−4

−3

−2

−1

1

34) f (x) = x2 − 8x + 20

0 1 2 3 4 5 6 7 8 9

1

2

3

4

5

6

7

8

9

-9-

Page 10: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

35) f (x) = x2 − 2x + 3

−3 −2 −1 0 1 2 3

1

2

3

4

5

6

7

36) f (x) = x2 + 6x + 6

−5 −4 −3 −2 −1 0 1

−4

−3

−2

−1

1

2

37) f (x) = x2 + 2x + 3

−4 −3 −2 −1 0 1 2

1

2

3

4

5

6

7

38) f (x) = x2 − 4x + 1

−1 0 1 2 3 4 5

−4

−3

−2

−1

1

2

-10-

Page 11: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

39) f (x) = x2 + 4x + 3

−5 −4 −3 −2 −1 0 1

−2

−1

1

2

3

4

40) f (x) = x2 − 6x + 12

0 1 2 3 4 5 6 7 8

1

2

3

4

5

6

7

8

41) f (x) = x2 + 6x + 7

−5 −4 −3 −2 −1 0 1

−3

−2

−1

1

2

3

42) f (x) = x2 − 6x + 13

0 1 2 3 4 5 6 7 8

1

2

3

4

5

6

7

8

9

-11-

Page 12: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

43) f (x) = x2 + 2x

−5 −4 −3 −2 −1 0 1

−2

−1

1

2

3

4

44) f (x) = x2 − 4x + 7

−2 −1 0 1 2 3 4 5 6

1

2

3

4

5

6

7

8

45) f (x) = x2 + 4x + 6

−5 −4 −3 −2 −1 0 1

1

2

3

4

5

6

7

46) f (x) = x2 + 2x − 3

−3 −2 −1 0 1 2 3

−5

−4

−3

−2

−1

1

-12-

Page 13: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

47) f (x) = x2 − 8x + 12

−1 0 1 2 3 4 5 6

−6

−5

−4

−3

−2

−1

1

2

48) f (x) = x2 + 2x − 2

−4 −3 −2 −1 0 1 2

−4

−3

−2

−1

1

2

49) f (x) = x2 + 4x

−4 −3 −2 −1 0 1 2

−5

−4

−3

−2

−1

1

50) f (x) = x2 − 8x + 17

−1 0 1 2 3 4 5 6

−1

1

2

3

4

5

6

7

-13-

Page 14: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

51) f (x) = x2 + 8x + 19

−7 −6 −5 −4 −3 −2 −1 0

1

2

3

4

5

6

7

8

52) f (x) = x2 − 2x − 1

−2 −1 0 1 2 3 4

−3

−2

−1

1

2

3

53) f (x) = x2 − 8x + 18

0 1 2 3 4 5 6 7

1

2

3

4

5

6

7

54) f (x) = x2 − 8x + 14

0 1 2 3 4 5 6 7

−4

−3

−2

−1

1

2

3

4

-14-

Page 15: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

55) f (x) = x2 + 6x + 12

−7 −6 −5 −4 −3 −2 −1 0 1

1

2

3

4

5

6

7

8

56) f (x) = x2 + 6x + 13

−6 −5 −4 −3 −2 −1 0 1 2

1

2

3

4

5

6

7

8

9

57) f (x) = x2 − 4x + 3

−2 −1 0 1 2 3 4

−2

−1

1

2

3

4

58) f (x) = x2 + 4x + 8

−4 −3 −2 −1 0 1 2 3 4

1

2

3

4

5

6

7

8

9

-15-

Page 16: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

59) f (x) = x2 − 6x + 7

−1 0 1 2 3 4 5

−3

−2

−1

1

2

3

60) f (x) = x2 + 4x + 2

−4 −3 −2 −1 0 1 2

−3

−2

−1

1

2

3

61) f (x) = x2 + 8x + 12

−6 −5 −4 −3 −2 −1 0 1

−6

−5

−4

−3

−2

−1

1

2

62) f (x) = x2 + 8x + 13

−6 −5 −4 −3 −2 −1 0 1

−5

−4

−3

−2

−1

1

2

3

-16-

Page 17: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

63) f (x) = x2 − 4x + 6

−1 0 1 2 3 4 5

1

2

3

4

5

6

7

64) f (x) = x2 − 6x + 10

0 1 2 3 4 5 6

1

2

3

4

5

6

65) f (x) = −2x2 − 8x − 6

−8 −7 −6 −5 −4 −3 −2 −1 0 1 2

−7

−6

−5

−4

−3

−2

−1

1

2

3

66) f (x) = x2 − 8x + 20

−2 −1 0 1 2 3 4 5 6 7

1

2

3

4

5

6

7

8

9

-17-

Page 18: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

67) f (x) = 4x2 + 32x + 63

−10 −8 −6 −4 −2 0 2 4 6

−2

2

4

6

8

10

12

14

16

68) f (x) = −2x2 − 8x − 12

−4 −3 −2 −1 0 1 2 3 4 5 6 7 8

−12

−10

−8

−6

−4

−2

69) f (x) = −2x2 + 8x − 10

−3 −2 −1 0 1 2 3 4 5 6 7

−11

−10

−9

−8

−7

−6

−5

−4

−3

−2

−1

70) f (x) = 2x2 − 16x + 31

−1 0 1 2 3 4 5 6 7 8

−2

−1

1

2

3

4

5

6

7

8

-18-

Page 19: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

71) f (x) = 2x2 − 8x + 12

−4 −3 −2 −1 0 1 2 3 4 5 6 7 8

2

4

6

8

10

12

72) f (x) = 3x2 + 24x + 45

−10 −8 −6 −4 −2 0 2

−4

−2

2

4

6

8

10

73) f (x) = −2x2 − 8x − 7

−10 −9 −8 −7 −6 −5 −4 −3 −2 −1 0

−8

−7

−6

−5

−4

−3

−2

−1

1

2

74) f (x) = −x2 + 2x

−3 −2 −1 0 1 2 3

−4

−3

−2

−1

1

2

-19-

Page 20: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

75) f (x) = −2x2 + 12x − 15

0 1 2 3 4 5 6 7 8 9 10

−6

−5

−4

−3

−2

−1

1

2

3

4

76) f (x) = −x2 + 8x − 12

0 1 2 3 4 5 6 7

−2

−1

1

2

3

4

5

6

77) f (x) = −x2 + 6x − 5

−1 0 1 2 3 4 5

−1

1

2

3

4

5

78) f (x) = x2 − 4x + 7

−3 −2 −1 0 1 2 3 4 5

1

2

3

4

5

6

7

8

-20-

Page 21: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

79) f (x) = 2x2 + 16x + 30

−7 −6 −5 −4 −3 −2 −1 0 1 2

−3

−2

−1

1

2

3

4

5

6

7

80) f (x) = x2 + 6x + 8

−6 −5 −4 −3 −2 −1 0

−2

−1

1

2

3

4

81) f (x) = x2 + 2x

−4 −3 −2 −1 0 1 2

−2

−1

1

2

3

4

82) f (x) = x2 − 4x + 5

−2 −1 0 1 2 3 4

1

2

3

4

5

6

-21-

Page 22: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

83) f (x) = x2 + 6x + 12

−7 −6 −5 −4 −3 −2 −1 0 1

1

2

3

4

5

6

7

8

84) f (x) = 1

2x2

+ 4x + 11

−6 −5 −4 −3 −2 −1 0 1

−1

1

2

3

4

5

6

7

-22-

Page 23: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

85) f (x) = x2 − 2x − 2

−2 −1 0 1 2 3 4

−4

−3

−2

−1

1

2

86) f (x) = x2 + 6x + 6

−5 −4 −3 −2 −1 0 1

−4

−3

−2

−1

1

2

87) f (x) = x2 + 6x + 7

−6 −5 −4 −3 −2 −1 0

−3

−2

−1

1

2

3

88) f (x) = −2x2 − 8x − 9

−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1

−10

−9

−8

−7

−6

−5

−4

−3

−2

−1

-23-

Page 24: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

89) f (x) = −2x2 + 8x − 4

−1 0 1 2 3 4 5 6 7 8 9

−5

−4

−3

−2

−1

1

2

3

4

5

90) f (x) = −2x2 + 8x − 7

0 1 2 3 4 5 6 7 8 9 10

−8

−7

−6

−5

−4

−3

−2

−1

1

2

91) f (x) = −4x2 − 16x − 13

−14 −12 −10 −8 −6 −4 −2 0 2 4

−14

−12

−10

−8

−6

−4

−2

2

4

92) f (x) = −2x2 − 16x − 29

−8 −7 −6 −5 −4 −3 −2 −1 0 1

−6

−5

−4

−3

−2

−1

1

2

3

4

-24-

Page 25: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

93) f (x) = x2 + 6x + 10

−5 −4 −3 −2 −1 0 1

1

2

3

4

5

6

94) f (x) = −x2 + 2x − 5

−1 0 1 2 3 4 5 6 7

−9

−8

−7

−6

−5

−4

−3

−2

−1

95) f (x) = 2x2 − 16x + 29

−1 0 1 2 3 4 5 6 7 8

−4

−3

−2

−1

1

2

3

4

5

6

-25-

Page 26: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

96) f (x) = 1

2x2

+ 4x + 6

−7 −6 −5 −4 −3 −2 −1 0

−5

−4

−3

−2

−1

1

2

3

97) f (x) = −x2 − 6x − 12

−7 −6 −5 −4 −3 −2 −1 0 1

−8

−7

−6

−5

−4

−3

−2

−1

-26-

Page 27: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

98) f (x) = −4x2 + 24x − 34

−12 −10 −8 −6 −4 −2 0 2 4 6

−14

−12

−10

−8

−6

−4

−2

2

99) f (x) = x2 − 2x

−2 −1 0 1 2 3 4

−2

−1

1

2

3

4

100) f (x) = −x2 + 8x − 13

0 1 2 3 4 5 6 7

−3

−2

−1

1

2

3

4

5

101) f (x) = 2x2 − 12x + 20

−2 −1 0 1 2 3 4 5 6 7 8

1

2

3

4

5

6

7

8

9

10

11

-27-

Page 28: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

102) f (x) = 2x2 + 8x + 10

−8 −7 −6 −5 −4 −3 −2 −1 0 1 2

1

2

3

4

5

6

7

8

9

10

11

103) f (x) = 3x2 + 12x + 9

−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5

−4

−2

2

4

6

8

10

104) f (x) = −2x2 − 12x − 16

−8 −7 −6 −5 −4 −3 −2 −1 0 1 2

−7

−6

−5

−4

−3

−2

−1

1

2

3

105) f (x) = −2x2 + 12x − 14

−1 0 1 2 3 4 5 6 7 8 9

−5

−4

−3

−2

−1

1

2

3

4

5

-28-

Page 29: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

106) f (x) = 2x2 − 16x + 28

0 1 2 3 4 5 6 7 8 9

−5

−4

−3

−2

−1

1

2

3

4

5

107) f (x) = 2x2 + 4x

−7 −6 −5 −4 −3 −2 −1 0 1 2 3

−3

−2

−1

1

2

3

4

5

6

7

108) f (x) = −2x2 − 12x − 21

−10 −8 −6 −4 −2 0 2

−12

−11

−10

−9

−8

−7

−6

−5

−4

−3

−2

109) f (x) = 3x2 − 6x + 1

−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5

−2

2

4

6

8

10

-29-

Page 30: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

110) f (x) = −x2 + 2x − 4

−3 −2 −1 0 1 2 3 4 5

−8

−7

−6

−5

−4

−3

−2

−1

111) f (x) = −x2 − 8x − 15

−6 −5 −4 −3 −2 −1 0 1

−5

−4

−3

−2

−1

1

2

3

112) f (x) = −x2 − 2x − 3

−5 −4 −3 −2 −1 0 1

−7

−6

−5

−4

−3

−2

−1

113) f (x) = −x2 − 4x − 3

−4 −3 −2 −1 0 1 2

−4

−3

−2

−1

1

2

-30-

Page 31: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

114) f (x) = x2 − 8x + 19

0 1 2 3 4 5 6 7

1

2

3

4

5

6

7

8

115) f (x) = −1

2x2

+ 4x − 7

0 1 2 3 4 5 6 7

−4

−3

−2

−1

1

2

3

4

-31-

Page 32: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

116) f (x) = x2 − 2x − 1

−2 −1 0 1 2 3 4

−3

−2

−1

1

2

3

117) f (x) = 2x2 − 8x + 5

0 1 2 3 4 5 6 7 8 9 10

−4

−3

−2

−1

1

2

3

4

5

6

118) f (x) = x2 + 8x + 15

−7 −6 −5 −4 −3 −2 −1 0

−3

−2

−1

1

2

3

4

5

119) f (x) = x2 + 2x + 2

−4 −3 −2 −1 0 1 2

1

2

3

4

5

6

-32-

Page 33: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

120) f (x) = −2x2 + 4x

−4 −3 −2 −1 0 1 2 3 4 5 6

−7

−6

−5

−4

−3

−2

−1

1

2

3

121) f (x) = −4x2 − 24x − 40

−6 −4 −2 0 2 4 6 8 10 12 14

−20

−18

−16

−14

−12

−10

−8

−6

−4

−2

122) f (x) = −2x2 − 4x − 6

−10 −8 −6 −4 −2 0

−12

−10

−8

−6

−4

−2

123) f (x) = −2x2 − 16x − 28

−8 −7 −6 −5 −4 −3 −2 −1 0 1

−5

−4

−3

−2

−1

1

2

3

4

5

-33-

Page 34: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

124) f (x) = 2x2 − 8x + 6

−3 −2 −1 0 1 2 3 4 5 6 7

−3

−2

−1

1

2

3

4

5

6

7

125) f (x) = −2x2 + 12x − 22

−4 −3 −2 −1 0 1 2 3 4 5 6 7 8

−12

−10

−8

−6

−4

−2

126) f (x) = −x2 + 8x − 18

0 1 2 3 4 5 6 7

−7

−6

−5

−4

−3

−2

−1

127) f (x) = −2x2 − 12x − 14

−5 −4 −3 −2 −1 0 1 2 3 4 5

−5

−4

−3

−2

−1

1

2

3

4

5

-34-

Page 35: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

128) f (x) = −2x2 + 4x − 1

−7 −6 −5 −4 −3 −2 −1 0 1 2 3

−8

−7

−6

−5

−4

−3

−2

−1

1

2

129) f (x) = 3x2 − 12x + 10

−3 −2 −1 0 1 2 3 4 5 6 7 8 9 10 11

−2

2

4

6

8

10

130) f (x) = −x2 + 6x − 7

−1 0 1 2 3 4 5

−3

−2

−1

1

2

3

131) f (x) = x2 + 8x + 19

−7 −6 −5 −4 −3 −2 −1 0

1

2

3

4

5

6

7

8

-35-

Page 36: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

132) f (x) = 2x2 − 12x + 15

0 1 2 3 4 5 6 7 8 9 10

−4

−3

−2

−1

1

2

3

4

5

6

133) f (x) = x2 − 6x + 5

−1 0 1 2 3 4 5

−5

−4

−3

−2

−1

1

134) f (x) = 2x2 + 4x − 2

−6 −5 −4 −3 −2 −1 0 1 2 3 4

−5

−4

−3

−2

−1

1

2

3

4

5

135) f (x) = x2 − 2x + 3

−2 −1 0 1 2 3 4

1

2

3

4

5

6

7

-36-

Page 37: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

136) f (x) = 1

2x2

− 2x + 3

0 1 2 3 4 5 6

−1

1

2

3

4

5

137) f (x) = −x2 + 4x − 8

−3 −2 −1 0 1 2 3 4 5

−9

−8

−7

−6

−5

−4

−3

−2

−1

-37-

Page 38: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

138) f (x) = 3x2 − 18x + 28

−4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9 10

2

4

6

8

10

12

14

139) f (x) = −1

2x2

− 2x − 6

−5 −4 −3 −2 −1 0 1

−7

−6

−5

−4

−3

−2

−1

-38-

Page 39: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

140) f (x) = x2 + 4x

−4 −3 −2 −1 0 1 2

−5

−4

−3

−2

−1

1

141) f (x) = −x2 + 6x − 12

−3 −2 −1 0 1 2 3 4 5

−8

−7

−6

−5

−4

−3

−2

−1

142) f (x) = −x2 − 4x − 5

−5 −4 −3 −2 −1 0 1

−6

−5

−4

−3

−2

−1

-39-

Page 40: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

143) f (x) = −1

2x2

− 4x − 11

−7 −6 −5 −4 −3 −2 −1 0

−7

−6

−5

−4

−3

−2

−1

1

144) f (x) = −x2 + 4x − 7

0 1 2 3 4 5 6 7 8

−8

−7

−6

−5

−4

−3

−2

−1

-40-

Page 41: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

145) f (x) = −x2 − 4x − 6

−6 −5 −4 −3 −2 −1 0

−7

−6

−5

−4

−3

−2

−1

146) f (x) = −x2 − 2x + 2

−4 −3 −2 −1 0 1 2

−2

−1

1

2

3

4

147) f (x) = −2x2 − 12x − 15

−10 −9 −8 −7 −6 −5 −4 −3 −2 −1 0

−6

−5

−4

−3

−2

−1

1

2

3

4

148) f (x) = −x2 + 8x − 20

−2 −1 0 1 2 3 4 5 6 7

−9

−8

−7

−6

−5

−4

−3

−2

−1

-41-

Page 42: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

149) f (x) = 2x2 − 12x + 21

−1 0 1 2 3 4 5 6 7 8 9 10 11

1

2

3

4

5

6

7

8

9

10

11

12

150) f (x) = x2 − 4x

−1 0 1 2 3 4 5

−5

−4

−3

−2

−1

1

151) f (x) = 2x2 − 4x + 1

−3 −2 −1 0 1 2 3 4 5 6 7

−2

−1

1

2

3

4

5

6

7

8

152) f (x) = x2 − 6x + 12

−1 0 1 2 3 4 5 6 7

1

2

3

4

5

6

7

8

-42-

Page 43: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

153) f (x) = 2x2 + 12x + 19

−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1

1

2

3

4

5

6

7

8

9

10

154) f (x) = −3x2 + 24x − 52

−8 −6 −4 −2 0 2 4 6 8

−16

−14

−12

−10

−8

−6

−4

−2

155) f (x) = −x2 − 8x − 20

−6 −5 −4 −3 −2 −1 0 1 2 3

−9

−8

−7

−6

−5

−4

−3

−2

−1

156) f (x) = −x2 − 6x − 13

−6 −5 −4 −3 −2 −1 0 1 2

−9

−8

−7

−6

−5

−4

−3

−2

−1

-43-

Page 44: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

157) f (x) = −2x2 − 4x − 4

−5 −4 −3 −2 −1 0 1 2 3 4 5

−11

−10

−9

−8

−7

−6

−5

−4

−3

−2

−1

158) f (x) = −x2 + 4x − 5

0 1 2 3 4 5 6

−6

−5

−4

−3

−2

−1

159) f (x) = −3x2 + 6x − 2

−5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9

−12

−10

−8

−6

−4

−2

2

-44-

Page 45: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

160) f (x) = 1

2x2

+ 4x + 10

−6 −5 −4 −3 −2 −1 0 1

−1

1

2

3

4

5

6

161) f (x) = −x2 − 2x

−5 −4 −3 −2 −1 0 1

−4

−3

−2

−1

1

2

-45-

Page 46: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

162) f (x) = −x2 + 4x − 2

−1 0 1 2 3 4 5

−3

−2

−1

1

2

3

163) f (x) = −1

3x2

+ 2x − 6

0 1 2 3 4 5 6

−6

−5

−4

−3

−2

−1

1

-46-

Page 47: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

164) f (x) = −3x2 − 6x − 5

−12 −10 −8 −6 −4 −2 0

−14

−12

−10

−8

−6

−4

−2

165) f (x) = x2 − 3x

−1 0 1 2 3 4

−3

−2

−1

1

2

-47-

Page 48: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

166) f (x) = 2x2 − 14x +

45

2

−1 0 1 2 3 4 5 6 7 8 9

−3

−2

−1

1

2

3

4

5

6

7

167) f (x) = −3x2 − 9x − 7

−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4

−12

−10

−8

−6

−4

−2

-48-

Page 49: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

168) f (x) = 2x2 − 2x + 1

−3 −2 −1 0 1 2 3 4 5 6

−1

1

2

3

4

5

6

7

8

9

169) f (x) = 2x2 + 10x + 8

−6 −5 −4 −3 −2 −1 0 1 2

−5

−4

−3

−2

−1

1

2

3

4

170) f (x) = 2x2 + 14x + 27

−10 −8 −6 −4 −2 0

1

2

3

4

5

6

7

8

9

10

11

171) f (x) = −4x2 − 28x − 53

−16 −12 −8 −4 0

−20

−18

−16

−14

−12

−10

−8

−6

−4

−2

-49-

Page 50: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

172) f (x) = −2x2 + 10x − 16

−3 −2 −1 0 1 2 3 4 5 6 7 8 9

−12

−11

−10

−9

−8

−7

−6

−5

−4

−3

−2

173) f (x) = −x2 + 5x − 9

−1 0 1 2 3 4 5

−7

−6

−5

−4

−3

−2

−1

-50-

Page 51: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

174) f (x) = −2x2 − 10x −

17

2

−7 −6 −5 −4 −3 −2 −1 0 1 2 3

−5

−4

−3

−2

−1

1

2

3

4

5

175) f (x) = x2 − 3x + 3

−1 0 1 2 3 4

−1

1

2

3

4

5

-51-

Page 52: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

176) f (x) = −x2 − 7x −

57

4

−6 −5 −4 −3 −2 −1 0

−7

−6

−5

−4

−3

−2

−1

177) f (x) = x2 − 3x + 4

−1 0 1 2 3 4

1

2

3

4

5

6

-52-

Page 53: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

178) f (x) = −x2 + x −

5

4

−2 −1 0 1 2 3

−6

−5

−4

−3

−2

−1

179) f (x) = −x2 + 3x − 6

−2 −1 0 1 2 3 4 5

−8

−7

−6

−5

−4

−3

−2

−1

-53-

Page 54: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

180) f (x) = x2 − 5x + 7

−1 0 1 2 3 4 5

−1

1

2

3

4

5

181) f (x) = x2 + 7x + 15

−6 −5 −4 −3 −2 −1 0

1

2

3

4

5

6

7

-54-

Page 55: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

182) f (x) = −x2 − 9x −

69

4

−7 −6 −5 −4 −3 −2 −1 0

−3

−2

−1

1

2

3

4

5

183) f (x) = 2x2 − 14x + 21

−2 −1 0 1 2 3 4 5 6

−4

−3

−2

−1

1

2

3

4

5

-55-

Page 56: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

184) f (x) = −x2 + x + 2

−2 −1 0 1 2 3

−2

−1

1

2

3

185) f (x) = 4x2 − 20x + 27

−12 −10 −8 −6 −4 −2 0 2 4 6

2

4

6

8

10

12

14

16

18

186) f (x) = 2x2 − 2x

−5 −4 −3 −2 −1 0 1 2 3 4

−1

1

2

3

4

5

6

7

8

-56-

Page 57: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

187) f (x) = −2x2 − 6x −

11

2

−6 −5 −4 −3 −2 −1 0 1 2 3

−10

−9

−8

−7

−6

−5

−4

−3

−2

−1

188) f (x) = −1

2x2

+ 3

2x + 1

−1 0 1 2 3 4

−2

−1

1

2

3

4

-57-

Page 58: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

189) f (x) = −x2 − 5x − 7

−5 −4 −3 −2 −1 0 1

−5

−4

−3

−2

−1

1

190) f (x) = 1

2x2

+ 9

2x + 12

−7 −6 −5 −4 −3 −2 −1 0

−2

−1

1

2

3

4

5

6

-58-

Page 59: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

191) f (x) = −x2 + x +

11

4

−2 −1 0 1 2 3

−2

−1

1

2

3

4

192) f (x) = −1

2x2

− 3

2x + 1

−4 −3 −2 −1 0 1

−2

−1

1

2

3

4

-59-

Page 60: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

193) f (x) = −1

2x2

+ 7

2x − 10

0 1 2 3 4 5 6

−6

−5

−4

−3

−2

−1

194) f (x) = −x2 − 9x − 23

−7 −6 −5 −4 −3 −2 −1 0

−7

−6

−5

−4

−3

−2

−1

-60-

Page 61: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

195) f (x) = 1

2x2

− 1

2x −

7

8

−2 −1 0 1 2 3

−3

−2

−1

1

2

3

196) f (x) = −2x2 + 2x

−4 −3 −2 −1 0 1 2 3 4 5

−8

−7

−6

−5

−4

−3

−2

−1

1

-61-

Page 62: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

197) f (x) = x2 + 9x +

69

4

−7 −6 −5 −4 −3 −2 −1 0

−5

−4

−3

−2

−1

1

2

3

198) f (x) = x2 + 7x + 13

−6 −5 −4 −3 −2 −1 0

−1

1

2

3

4

5

-62-

Page 63: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

199) f (x) = 1

3x2

− 5

3x +

73

12

−1 0 1 2 3 4 5

1

2

3

4

5

6

200) f (x) = x2 − x + 3

−2 −1 0 1 2 3 4 5

1

2

3

4

5

6

7

-63-

Page 64: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

201) f (x) = 2x2 + 10x + 14

−5 −4 −3 −2 −1 0 1 2 3 4 5

1

2

3

4

5

6

7

8

9

10

202) f (x) = 2x2 + 18x + 36

−7 −6 −5 −4 −3 −2 −1 0 1 2

−5

−4

−3

−2

−1

1

2

3

4

203) f (x) = −3x2 − 27x − 63

−6 −4 −2 0 2 4 6 8

−14

−12

−10

−8

−6

−4

−2

204) f (x) = 2x2 − 6x + 1

−1 0 1 2 3 4 5 6 7 8

−4

−3

−2

−1

1

2

3

4

5

-64-

Page 65: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

205) f (x) = x2 + 5x + 2

−5 −4 −3 −2 −1 0 1

−5

−4

−3

−2

−1

1

206) f (x) = 2x2 − 10x + 11

−3 −2 −1 0 1 2 3 4 5

−2

−1

1

2

3

4

5

6

7

-65-

Page 66: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

207) f (x) = −x2 − 7x −

45

4

−6 −5 −4 −3 −2 −1 0

−4

−3

−2

−1

1

2

208) f (x) = −3x2 − 9x −

31

4

−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7

−14

−12

−10

−8

−6

−4

−2

-66-

Page 67: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

209) f (x) = x2 + 5x + 8

−5 −4 −3 −2 −1 0 1

1

2

3

4

5

6

210) f (x) = −2x2 + 6x − 2

−5 −4 −3 −2 −1 0 1 2 3 4

−6

−5

−4

−3

−2

−1

1

2

3

-67-

Page 68: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

211) f (x) = −x2 − 9x −

65

4

−7 −6 −5 −4 −3 −2 −1 0

−2

−1

1

2

3

4

5

6

212) f (x) = −2x2 + 14x −

57

2

−3 −2 −1 0 1 2 3 4 5 6 7 8 9

−12

−10

−8

−6

−4

−2

-68-

Page 69: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

213) f (x) = −2x2 − 14x − 20

−7 −6 −5 −4 −3 −2 −1 0 1

−4

−3

−2

−1

1

2

3

4

5

214) f (x) = 2x2 − 6x + 5

−3 −2 −1 0 1 2 3 4 5 6

−1

1

2

3

4

5

6

7

8

9

215) f (x) = −x2 + x − 2

−2 −1 0 1 2 3

−6

−5

−4

−3

−2

−1

216) f (x) = 4x2 − 4x + 5

−4 −2 0 2 4 6 8 10 12 14 16

2

4

6

8

10

12

14

16

18

20

-69-

Page 70: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

217) f (x) = x2 − x + 1

−2 −1 0 1 2 3

−1

1

2

3

4

5

218) f (x) = 1

2x2

− 3

2x + 5

−1 0 1 2 3 4

1

2

3

4

5

6

-70-

Page 71: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

219) f (x) = x2 + 9x + 18

−7 −6 −5 −4 −3 −2 −1 0

−4

−3

−2

−1

1

2

3

220) f (x) = 1

2x2

− 7

2x + 9

0 1 2 3 4 5 6

−1

1

2

3

4

5

6

-71-

Page 72: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

221) f (x) = 1

2x2

+ 3

2x + 5

−4 −3 −2 −1 0 1

1

2

3

4

5

6

222) f (x) = −1

2x2

+ 5

2x − 6

0 1 2 3 4 5 6

−6

−5

−4

−3

−2

−1

1

-72-

Page 73: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

223) f (x) = −1

2x2

− 5

2x − 7

−5 −4 −3 −2 −1 0 1

−6

−5

−4

−3

−2

−1

224) f (x) = 2x2 − 2x − 1

−6 −5 −4 −3 −2 −1 0 1 2 3

−2

−1

1

2

3

4

5

6

7

-73-

Page 74: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

225) f (x) = 1

2x2

− 7

2x + 4

0 1 2 3 4 5 6

−4

−3

−2

−1

1

2

226) f (x) = −x2 − 3x

−4 −3 −2 −1 0 1

−2

−1

1

2

3

-74-

Page 75: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

227) f (x) = −x2 + 5x − 5

−1 0 1 2 3 4 5

−4

−3

−2

−1

1

2

3

228) f (x) = −x2 − 7x − 10

−6 −5 −4 −3 −2 −1 0

−3

−2

−1

1

2

3

4

-75-

Page 76: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

229) f (x) = −x2 − 7x −

37

4

−6 −5 −4 −3 −2 −1 0

−2

−1

1

2

3

4

230) f (x) = 2x2 − 10x +

21

2

−2 −1 0 1 2 3 4 5 6 7 8

−3

−2

−1

1

2

3

4

5

6

7

-76-

Page 77: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

231) f (x) = −x2 − 9x −

97

4

−9 −8 −7 −6 −5 −4 −3 −2 −1 0

−9

−8

−7

−6

−5

−4

−3

−2

−1

232) f (x) = −x2 + 7x −

61

4

−1 0 1 2 3 4 5 6 7

−8

−7

−6

−5

−4

−3

−2

−1

-77-

Page 78: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

233) f (x) = −2x2 + 2x − 3

−6 −5 −4 −3 −2 −1 0 1 2 3 4 5

−11

−10

−9

−8

−7

−6

−5

−4

−3

−2

−1

234) f (x) = 3x2 − 9x + 10

0 2 4 6 8 10 12 14

2

4

6

8

10

12

14

16

235) f (x) = 2x2 + 18x + 39

−8 −7 −6 −5 −4 −3 −2 −1 0 1

−2

−1

1

2

3

4

5

6

7

236) f (x) = x2 + 9x + 22

−7 −6 −5 −4 −3 −2 −1 0

−1

1

2

3

4

5

6

7

-78-

Page 79: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

237) f (x) = 2x2 + 10x +

31

2

−5 −4 −3 −2 −1 0 1 2 3 4 5 6 7

1

2

3

4

5

6

7

8

9

10

11

12

238) f (x) = −2x2 + 10x − 8

−1 0 1 2 3 4 5 6 7

−4

−3

−2

−1

1

2

3

4

5

-79-

Page 80: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

239) f (x) = 2x2 − 14x + 20

−2 −1 0 1 2 3 4 5 6

−5

−4

−3

−2

−1

1

2

3

4

240) f (x) = x2 + 7x +

61

4

−7 −6 −5 −4 −3 −2 −1 0 1

1

2

3

4

5

6

7

8

-80-

Page 81: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

241) f (x) = 2x2 + 6x + 1

−6 −5 −4 −3 −2 −1 0 1 2 3

−4

−3

−2

−1

1

2

3

4

5

242) f (x) = −2x2 − 18x −

87

2

−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3

−12

−11

−10

−9

−8

−7

−6

−5

−4

−3

−2

-81-

Page 82: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

243) f (x) = 2x2 − 6x + 6

−3 −2 −1 0 1 2 3 4 5 6

1

2

3

4

5

6

7

8

9

10

244) f (x) = −2x2 + 2x −

3

2

−2 −1 0 1 2 3 4 5 6 7

−10

−9

−8

−7

−6

−5

−4

−3

−2

−1

-82-

Page 83: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

245) f (x) = −x2 + 7x − 16

−1 0 1 2 3 4 5 6 7

−8

−7

−6

−5

−4

−3

−2

−1

246) f (x) = −1

2x2

− 5

2x − 1

−6 −5 −4 −3 −2 −1 0

−2

−1

1

2

3

4

-83-

Page 84: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

247) f (x) = −x2 + 7x − 8

0 1 2 3 4 5 6

−1

1

2

3

4

5

248) f (x) = 1

2x2

+ 9

2x + 9

−7 −6 −5 −4 −3 −2 −1 0

−4

−3

−2

−1

1

2

3

-84-

Page 85: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

249) f (x) = −x2 + 5x − 10

0 1 2 3 4 5 6 7 8

−8

−7

−6

−5

−4

−3

−2

−1

250) f (x) = −1

2x2

+ 7

2x − 5

0 1 2 3 4 5 6

−3

−2

−1

1

2

3

4

-85-

Page 86: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

251) f (x) = −1

3x2

+ x − 2

−1 0 1 2 3 4

−4

−3

−2

−1

1

252) f (x) = 1

2x2

− 1

2x + 1

−2 −1 0 1 2 3

−2

−1

1

2

3

4

-86-

Page 87: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

253) f (x) = −4x2 + 4x + 3

−8 −6 −4 −2 0 2 4 6 8

−12

−10

−8

−6

−4

−2

2

4

254) f (x) = 2x2 + 6x + 5

−4 −3 −2 −1 0 1 2 3 4 5

−1

1

2

3

4

5

6

7

8

9

-87-

Page 88: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

255) f (x) = x2 − x +

9

4

−3 −2 −1 0 1 2 3 4

1

2

3

4

5

6

7

256) f (x) = 2x2 − 10x + 16

−3 −2 −1 0 1 2 3 4 5 6 7 8 9

1

2

3

4

5

6

7

8

9

10

11

12

-88-

Page 89: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

257) f (x) = 4x2 + 36x + 82

−8 −6 −4 −2 0 2 4 6 8

2

4

6

8

10

12

14

16

18

258) f (x) = −2x2 − 6x − 7

−5 −4 −3 −2 −1 0 1 2 3 4 5 6

−11

−10

−9

−8

−7

−6

−5

−4

−3

−2

−1

259) f (x) = −2x2 + 14x − 27

0 1 2 3 4 5 6 7 8 9 10

−11

−10

−9

−8

−7

−6

−5

−4

−3

−2

−1

260) f (x) = −2x2 + 6x − 6

−3 −2 −1 0 1 2 3 4 5 6

−10

−9

−8

−7

−6

−5

−4

−3

−2

−1

-89-

Page 90: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

261) f (x) = 2x2 + 14x + 20

−6 −5 −4 −3 −2 −1 0 1 2

−5

−4

−3

−2

−1

1

2

3

4

262) f (x) = −x2 + 5x −

29

4

−1 0 1 2 3 4 5

−6

−5

−4

−3

−2

−1

-90-

Page 91: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

263) f (x) = 3x2 − 3x − 3

−7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6

−4

−2

2

4

6

8

264) f (x) = −x2 − 3x − 1

−4 −3 −2 −1 0 1

−3

−2

−1

1

2

-91-

Page 92: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

MATHEMANIA.COM

Graphing quadratic functions - Standard form

Connect the dots and graph solution:

1) f (x) = x2 + 6x + 8

−5 −4 −3 −2 −1 0 1

−2

−1

1

2

3

4

2) f (x) = x2 − 6x + 11

0 1 2 3 4 5 6

1

2

3

4

5

6

7

-1-

Page 93: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

3) f (x) = x2 + 8x + 18

−6 −5 −4 −3 −2 −1 0 1

1

2

3

4

5

6

7

4) f (x) = x2 − 4x + 5

−1 0 1 2 3 4 5

1

2

3

4

5

6

5) f (x) = x2 + 8x + 15

−6 −5 −4 −3 −2 −1 0 1

−3

−2

−1

1

2

3

4

5

6) f (x) = x2 + 2x + 4

−4 −3 −2 −1 0 1 2 3 4

1

2

3

4

5

6

7

8

-2-

Page 94: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

7) f (x) = x2 + 8x + 14

−6 −5 −4 −3 −2 −1 0 1

−4

−3

−2

−1

1

2

3

4

8) f (x) = x2 − 2x

−2 −1 0 1 2 3 4

−2

−1

1

2

3

4

9) f (x) = x2 + 4x + 7

−6 −5 −4 −3 −2 −1 0 1 2

1

2

3

4

5

6

7

8

10) f (x) = x2 − 8x + 13

−1 0 1 2 3 4 5 6

−5

−4

−3

−2

−1

1

2

3

-3-

Page 95: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

11) f (x) = x2 + 6x + 11

−6 −5 −4 −3 −2 −1 0

1

2

3

4

5

6

7

12) f (x) = x2 − 2x − 2

−2 −1 0 1 2 3 4

−4

−3

−2

−1

1

2

13) f (x) = x2 − 6x + 5

0 1 2 3 4 5 6

−5

−4

−3

−2

−1

1

14) f (x) = x2 − 4x + 8

−1 0 1 2 3 4 5 6 7

1

2

3

4

5

6

7

8

9

-4-

Page 96: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

15) f (x) = x2 + 8x + 17

−6 −5 −4 −3 −2 −1 0 1

−1

1

2

3

4

5

6

7

16) f (x) = x2 + 2x − 1

−4 −3 −2 −1 0 1 2

−3

−2

−1

1

2

3

17) f (x) = x2 − 2x + 5

−2 −1 0 1 2 3 4 5 6

1

2

3

4

5

6

7

8

9

18) f (x) = x2 + 8x + 20

−9 −8 −7 −6 −5 −4 −3 −2 −1 0

1

2

3

4

5

6

7

8

9

-5-

Page 97: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

19) f (x) = x2 + 4x + 1

−4 −3 −2 −1 0 1 2

−4

−3

−2

−1

1

2

20) f (x) = x2 − 8x + 15

−1 0 1 2 3 4 5 6

−3

−2

−1

1

2

3

4

5

21) f (x) = x2 − 2x + 4

−5 −4 −3 −2 −1 0 1 2 3

1

2

3

4

5

6

7

8

22) f (x) = x2 + 6x + 5

−6 −5 −4 −3 −2 −1 0

−5

−4

−3

−2

−1

1

-6-

Page 98: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

23) f (x) = x2 − 6x + 8

−1 0 1 2 3 4 5

−2

−1

1

2

3

4

24) f (x) = x2 − 4x + 2

−1 0 1 2 3 4 5

−3

−2

−1

1

2

3

25) f (x) = x2 + 2x + 2

−5 −4 −3 −2 −1 0 1

1

2

3

4

5

6

26) f (x) = x2 + 4x + 5

−6 −5 −4 −3 −2 −1 0

1

2

3

4

5

6

-7-

Page 99: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

27) f (x) = x2 − 2x − 3

−1 0 1 2 3 4 5

−5

−4

−3

−2

−1

1

28) f (x) = x2 − 8x + 19

−1 0 1 2 3 4 5 6

1

2

3

4

5

6

7

8

29) f (x) = x2 + 2x + 5

−4 −3 −2 −1 0 1 2 3 4

1

2

3

4

5

6

7

8

9

30) f (x) = x2 − 2x + 2

−2 −1 0 1 2 3 4

1

2

3

4

5

6

-8-

Page 100: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

31) f (x) = x2 − 6x + 6

−1 0 1 2 3 4 5

−4

−3

−2

−1

1

2

32) f (x) = x2 + 6x + 10

−6 −5 −4 −3 −2 −1 0

1

2

3

4

5

6

33) f (x) = x2 − 4x

−1 0 1 2 3 4 5

−5

−4

−3

−2

−1

1

34) f (x) = x2 − 8x + 20

0 1 2 3 4 5 6 7 8 9

1

2

3

4

5

6

7

8

9

-9-

Page 101: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

35) f (x) = x2 − 2x + 3

−3 −2 −1 0 1 2 3

1

2

3

4

5

6

7

36) f (x) = x2 + 6x + 6

−5 −4 −3 −2 −1 0 1

−4

−3

−2

−1

1

2

37) f (x) = x2 + 2x + 3

−4 −3 −2 −1 0 1 2

1

2

3

4

5

6

7

38) f (x) = x2 − 4x + 1

−1 0 1 2 3 4 5

−4

−3

−2

−1

1

2

-10-

Page 102: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

39) f (x) = x2 + 4x + 3

−5 −4 −3 −2 −1 0 1

−2

−1

1

2

3

4

40) f (x) = x2 − 6x + 12

0 1 2 3 4 5 6 7 8

1

2

3

4

5

6

7

8

41) f (x) = x2 + 6x + 7

−5 −4 −3 −2 −1 0 1

−3

−2

−1

1

2

3

42) f (x) = x2 − 6x + 13

0 1 2 3 4 5 6 7 8

1

2

3

4

5

6

7

8

9

-11-

Page 103: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

43) f (x) = x2 + 2x

−5 −4 −3 −2 −1 0 1

−2

−1

1

2

3

4

44) f (x) = x2 − 4x + 7

−2 −1 0 1 2 3 4 5 6

1

2

3

4

5

6

7

8

45) f (x) = x2 + 4x + 6

−5 −4 −3 −2 −1 0 1

1

2

3

4

5

6

7

46) f (x) = x2 + 2x − 3

−3 −2 −1 0 1 2 3

−5

−4

−3

−2

−1

1

-12-

Page 104: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

47) f (x) = x2 − 8x + 12

−1 0 1 2 3 4 5 6

−6

−5

−4

−3

−2

−1

1

2

48) f (x) = x2 + 2x − 2

−4 −3 −2 −1 0 1 2

−4

−3

−2

−1

1

2

49) f (x) = x2 + 4x

−4 −3 −2 −1 0 1 2

−5

−4

−3

−2

−1

1

50) f (x) = x2 − 8x + 17

−1 0 1 2 3 4 5 6

−1

1

2

3

4

5

6

7

-13-

Page 105: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

51) f (x) = x2 + 8x + 19

−7 −6 −5 −4 −3 −2 −1 0

1

2

3

4

5

6

7

8

52) f (x) = x2 − 2x − 1

−2 −1 0 1 2 3 4

−3

−2

−1

1

2

3

53) f (x) = x2 − 8x + 18

0 1 2 3 4 5 6 7

1

2

3

4

5

6

7

54) f (x) = x2 − 8x + 14

0 1 2 3 4 5 6 7

−4

−3

−2

−1

1

2

3

4

-14-

Page 106: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

55) f (x) = x2 + 6x + 12

−7 −6 −5 −4 −3 −2 −1 0 1

1

2

3

4

5

6

7

8

56) f (x) = x2 + 6x + 13

−6 −5 −4 −3 −2 −1 0 1 2

1

2

3

4

5

6

7

8

9

57) f (x) = x2 − 4x + 3

−2 −1 0 1 2 3 4

−2

−1

1

2

3

4

58) f (x) = x2 + 4x + 8

−4 −3 −2 −1 0 1 2 3 4

1

2

3

4

5

6

7

8

9

-15-

Page 107: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

59) f (x) = x2 − 6x + 7

−1 0 1 2 3 4 5

−3

−2

−1

1

2

3

60) f (x) = x2 + 4x + 2

−4 −3 −2 −1 0 1 2

−3

−2

−1

1

2

3

61) f (x) = x2 + 8x + 12

−6 −5 −4 −3 −2 −1 0 1

−6

−5

−4

−3

−2

−1

1

2

62) f (x) = x2 + 8x + 13

−6 −5 −4 −3 −2 −1 0 1

−5

−4

−3

−2

−1

1

2

3

-16-

Page 108: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

63) f (x) = x2 − 4x + 6

−1 0 1 2 3 4 5

1

2

3

4

5

6

7

64) f (x) = x2 − 6x + 10

0 1 2 3 4 5 6

1

2

3

4

5

6

65) f (x) = −2x2 − 8x − 6

−8 −7 −6 −5 −4 −3 −2 −1 0 1 2

−7

−6

−5

−4

−3

−2

−1

1

2

3

66) f (x) = x2 − 8x + 20

−2 −1 0 1 2 3 4 5 6 7

1

2

3

4

5

6

7

8

9

-17-

Page 109: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

67) f (x) = 4x2 + 32x + 63

−10 −8 −6 −4 −2 0 2 4 6

−2

2

4

6

8

10

12

14

16

68) f (x) = −2x2 − 8x − 12

−4 −3 −2 −1 0 1 2 3 4 5 6 7 8

−12

−10

−8

−6

−4

−2

69) f (x) = −2x2 + 8x − 10

−3 −2 −1 0 1 2 3 4 5 6 7

−11

−10

−9

−8

−7

−6

−5

−4

−3

−2

−1

70) f (x) = 2x2 − 16x + 31

−1 0 1 2 3 4 5 6 7 8

−2

−1

1

2

3

4

5

6

7

8

-18-

Page 110: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

71) f (x) = 2x2 − 8x + 12

−4 −3 −2 −1 0 1 2 3 4 5 6 7 8

2

4

6

8

10

12

72) f (x) = 3x2 + 24x + 45

−10 −8 −6 −4 −2 0 2

−4

−2

2

4

6

8

10

73) f (x) = −2x2 − 8x − 7

−10 −9 −8 −7 −6 −5 −4 −3 −2 −1 0

−8

−7

−6

−5

−4

−3

−2

−1

1

2

74) f (x) = −x2 + 2x

−3 −2 −1 0 1 2 3

−4

−3

−2

−1

1

2

-19-

Page 111: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

75) f (x) = −2x2 + 12x − 15

0 1 2 3 4 5 6 7 8 9 10

−6

−5

−4

−3

−2

−1

1

2

3

4

76) f (x) = −x2 + 8x − 12

0 1 2 3 4 5 6 7

−2

−1

1

2

3

4

5

6

77) f (x) = −x2 + 6x − 5

−1 0 1 2 3 4 5

−1

1

2

3

4

5

78) f (x) = x2 − 4x + 7

−3 −2 −1 0 1 2 3 4 5

1

2

3

4

5

6

7

8

-20-

Page 112: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

79) f (x) = 2x2 + 16x + 30

−7 −6 −5 −4 −3 −2 −1 0 1 2

−3

−2

−1

1

2

3

4

5

6

7

80) f (x) = x2 + 6x + 8

−6 −5 −4 −3 −2 −1 0

−2

−1

1

2

3

4

81) f (x) = x2 + 2x

−4 −3 −2 −1 0 1 2

−2

−1

1

2

3

4

82) f (x) = x2 − 4x + 5

−2 −1 0 1 2 3 4

1

2

3

4

5

6

-21-

Page 113: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

83) f (x) = x2 + 6x + 12

−7 −6 −5 −4 −3 −2 −1 0 1

1

2

3

4

5

6

7

8

84) f (x) = 1

2x2

+ 4x + 11

−6 −5 −4 −3 −2 −1 0 1

−1

1

2

3

4

5

6

7

-22-

Page 114: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

85) f (x) = x2 − 2x − 2

−2 −1 0 1 2 3 4

−4

−3

−2

−1

1

2

86) f (x) = x2 + 6x + 6

−5 −4 −3 −2 −1 0 1

−4

−3

−2

−1

1

2

87) f (x) = x2 + 6x + 7

−6 −5 −4 −3 −2 −1 0

−3

−2

−1

1

2

3

88) f (x) = −2x2 − 8x − 9

−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1

−10

−9

−8

−7

−6

−5

−4

−3

−2

−1

-23-

Page 115: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

89) f (x) = −2x2 + 8x − 4

−1 0 1 2 3 4 5 6 7 8 9

−5

−4

−3

−2

−1

1

2

3

4

5

90) f (x) = −2x2 + 8x − 7

0 1 2 3 4 5 6 7 8 9 10

−8

−7

−6

−5

−4

−3

−2

−1

1

2

91) f (x) = −4x2 − 16x − 13

−14 −12 −10 −8 −6 −4 −2 0 2 4

−14

−12

−10

−8

−6

−4

−2

2

4

92) f (x) = −2x2 − 16x − 29

−8 −7 −6 −5 −4 −3 −2 −1 0 1

−6

−5

−4

−3

−2

−1

1

2

3

4

-24-

Page 116: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

93) f (x) = x2 + 6x + 10

−5 −4 −3 −2 −1 0 1

1

2

3

4

5

6

94) f (x) = −x2 + 2x − 5

−1 0 1 2 3 4 5 6 7

−9

−8

−7

−6

−5

−4

−3

−2

−1

95) f (x) = 2x2 − 16x + 29

−1 0 1 2 3 4 5 6 7 8

−4

−3

−2

−1

1

2

3

4

5

6

-25-

Page 117: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

96) f (x) = 1

2x2

+ 4x + 6

−7 −6 −5 −4 −3 −2 −1 0

−5

−4

−3

−2

−1

1

2

3

97) f (x) = −x2 − 6x − 12

−7 −6 −5 −4 −3 −2 −1 0 1

−8

−7

−6

−5

−4

−3

−2

−1

-26-

Page 118: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

98) f (x) = −4x2 + 24x − 34

−12 −10 −8 −6 −4 −2 0 2 4 6

−14

−12

−10

−8

−6

−4

−2

2

99) f (x) = x2 − 2x

−2 −1 0 1 2 3 4

−2

−1

1

2

3

4

100) f (x) = −x2 + 8x − 13

0 1 2 3 4 5 6 7

−3

−2

−1

1

2

3

4

5

101) f (x) = 2x2 − 12x + 20

−2 −1 0 1 2 3 4 5 6 7 8

1

2

3

4

5

6

7

8

9

10

11

-27-

Page 119: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

102) f (x) = 2x2 + 8x + 10

−8 −7 −6 −5 −4 −3 −2 −1 0 1 2

1

2

3

4

5

6

7

8

9

10

11

103) f (x) = 3x2 + 12x + 9

−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5

−4

−2

2

4

6

8

10

104) f (x) = −2x2 − 12x − 16

−8 −7 −6 −5 −4 −3 −2 −1 0 1 2

−7

−6

−5

−4

−3

−2

−1

1

2

3

105) f (x) = −2x2 + 12x − 14

−1 0 1 2 3 4 5 6 7 8 9

−5

−4

−3

−2

−1

1

2

3

4

5

-28-

Page 120: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

106) f (x) = 2x2 − 16x + 28

0 1 2 3 4 5 6 7 8 9

−5

−4

−3

−2

−1

1

2

3

4

5

107) f (x) = 2x2 + 4x

−7 −6 −5 −4 −3 −2 −1 0 1 2 3

−3

−2

−1

1

2

3

4

5

6

7

108) f (x) = −2x2 − 12x − 21

−10 −8 −6 −4 −2 0 2

−12

−11

−10

−9

−8

−7

−6

−5

−4

−3

−2

109) f (x) = 3x2 − 6x + 1

−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5

−2

2

4

6

8

10

-29-

Page 121: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

110) f (x) = −x2 + 2x − 4

−3 −2 −1 0 1 2 3 4 5

−8

−7

−6

−5

−4

−3

−2

−1

111) f (x) = −x2 − 8x − 15

−6 −5 −4 −3 −2 −1 0 1

−5

−4

−3

−2

−1

1

2

3

112) f (x) = −x2 − 2x − 3

−5 −4 −3 −2 −1 0 1

−7

−6

−5

−4

−3

−2

−1

113) f (x) = −x2 − 4x − 3

−4 −3 −2 −1 0 1 2

−4

−3

−2

−1

1

2

-30-

Page 122: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

114) f (x) = x2 − 8x + 19

0 1 2 3 4 5 6 7

1

2

3

4

5

6

7

8

115) f (x) = −1

2x2

+ 4x − 7

0 1 2 3 4 5 6 7

−4

−3

−2

−1

1

2

3

4

-31-

Page 123: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

116) f (x) = x2 − 2x − 1

−2 −1 0 1 2 3 4

−3

−2

−1

1

2

3

117) f (x) = 2x2 − 8x + 5

0 1 2 3 4 5 6 7 8 9 10

−4

−3

−2

−1

1

2

3

4

5

6

118) f (x) = x2 + 8x + 15

−7 −6 −5 −4 −3 −2 −1 0

−3

−2

−1

1

2

3

4

5

119) f (x) = x2 + 2x + 2

−4 −3 −2 −1 0 1 2

1

2

3

4

5

6

-32-

Page 124: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

120) f (x) = −2x2 + 4x

−4 −3 −2 −1 0 1 2 3 4 5 6

−7

−6

−5

−4

−3

−2

−1

1

2

3

121) f (x) = −4x2 − 24x − 40

−6 −4 −2 0 2 4 6 8 10 12 14

−20

−18

−16

−14

−12

−10

−8

−6

−4

−2

122) f (x) = −2x2 − 4x − 6

−10 −8 −6 −4 −2 0

−12

−10

−8

−6

−4

−2

123) f (x) = −2x2 − 16x − 28

−8 −7 −6 −5 −4 −3 −2 −1 0 1

−5

−4

−3

−2

−1

1

2

3

4

5

-33-

Page 125: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

124) f (x) = 2x2 − 8x + 6

−3 −2 −1 0 1 2 3 4 5 6 7

−3

−2

−1

1

2

3

4

5

6

7

125) f (x) = −2x2 + 12x − 22

−4 −3 −2 −1 0 1 2 3 4 5 6 7 8

−12

−10

−8

−6

−4

−2

126) f (x) = −x2 + 8x − 18

0 1 2 3 4 5 6 7

−7

−6

−5

−4

−3

−2

−1

127) f (x) = −2x2 − 12x − 14

−5 −4 −3 −2 −1 0 1 2 3 4 5

−5

−4

−3

−2

−1

1

2

3

4

5

-34-

Page 126: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

128) f (x) = −2x2 + 4x − 1

−7 −6 −5 −4 −3 −2 −1 0 1 2 3

−8

−7

−6

−5

−4

−3

−2

−1

1

2

129) f (x) = 3x2 − 12x + 10

−3 −2 −1 0 1 2 3 4 5 6 7 8 9 10 11

−2

2

4

6

8

10

130) f (x) = −x2 + 6x − 7

−1 0 1 2 3 4 5

−3

−2

−1

1

2

3

131) f (x) = x2 + 8x + 19

−7 −6 −5 −4 −3 −2 −1 0

1

2

3

4

5

6

7

8

-35-

Page 127: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

132) f (x) = 2x2 − 12x + 15

0 1 2 3 4 5 6 7 8 9 10

−4

−3

−2

−1

1

2

3

4

5

6

133) f (x) = x2 − 6x + 5

−1 0 1 2 3 4 5

−5

−4

−3

−2

−1

1

134) f (x) = 2x2 + 4x − 2

−6 −5 −4 −3 −2 −1 0 1 2 3 4

−5

−4

−3

−2

−1

1

2

3

4

5

135) f (x) = x2 − 2x + 3

−2 −1 0 1 2 3 4

1

2

3

4

5

6

7

-36-

Page 128: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

136) f (x) = 1

2x2

− 2x + 3

0 1 2 3 4 5 6

−1

1

2

3

4

5

137) f (x) = −x2 + 4x − 8

−3 −2 −1 0 1 2 3 4 5

−9

−8

−7

−6

−5

−4

−3

−2

−1

-37-

Page 129: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

138) f (x) = 3x2 − 18x + 28

−4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9 10

2

4

6

8

10

12

14

139) f (x) = −1

2x2

− 2x − 6

−5 −4 −3 −2 −1 0 1

−7

−6

−5

−4

−3

−2

−1

-38-

Page 130: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

140) f (x) = x2 + 4x

−4 −3 −2 −1 0 1 2

−5

−4

−3

−2

−1

1

141) f (x) = −x2 + 6x − 12

−3 −2 −1 0 1 2 3 4 5

−8

−7

−6

−5

−4

−3

−2

−1

142) f (x) = −x2 − 4x − 5

−5 −4 −3 −2 −1 0 1

−6

−5

−4

−3

−2

−1

-39-

Page 131: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

143) f (x) = −1

2x2

− 4x − 11

−7 −6 −5 −4 −3 −2 −1 0

−7

−6

−5

−4

−3

−2

−1

1

144) f (x) = −x2 + 4x − 7

0 1 2 3 4 5 6 7 8

−8

−7

−6

−5

−4

−3

−2

−1

-40-

Page 132: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

145) f (x) = −x2 − 4x − 6

−6 −5 −4 −3 −2 −1 0

−7

−6

−5

−4

−3

−2

−1

146) f (x) = −x2 − 2x + 2

−4 −3 −2 −1 0 1 2

−2

−1

1

2

3

4

147) f (x) = −2x2 − 12x − 15

−10 −9 −8 −7 −6 −5 −4 −3 −2 −1 0

−6

−5

−4

−3

−2

−1

1

2

3

4

148) f (x) = −x2 + 8x − 20

−2 −1 0 1 2 3 4 5 6 7

−9

−8

−7

−6

−5

−4

−3

−2

−1

-41-

Page 133: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

149) f (x) = 2x2 − 12x + 21

−1 0 1 2 3 4 5 6 7 8 9 10 11

1

2

3

4

5

6

7

8

9

10

11

12

150) f (x) = x2 − 4x

−1 0 1 2 3 4 5

−5

−4

−3

−2

−1

1

151) f (x) = 2x2 − 4x + 1

−3 −2 −1 0 1 2 3 4 5 6 7

−2

−1

1

2

3

4

5

6

7

8

152) f (x) = x2 − 6x + 12

−1 0 1 2 3 4 5 6 7

1

2

3

4

5

6

7

8

-42-

Page 134: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

153) f (x) = 2x2 + 12x + 19

−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1

1

2

3

4

5

6

7

8

9

10

154) f (x) = −3x2 + 24x − 52

−8 −6 −4 −2 0 2 4 6 8

−16

−14

−12

−10

−8

−6

−4

−2

155) f (x) = −x2 − 8x − 20

−6 −5 −4 −3 −2 −1 0 1 2 3

−9

−8

−7

−6

−5

−4

−3

−2

−1

156) f (x) = −x2 − 6x − 13

−6 −5 −4 −3 −2 −1 0 1 2

−9

−8

−7

−6

−5

−4

−3

−2

−1

-43-

Page 135: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

157) f (x) = −2x2 − 4x − 4

−5 −4 −3 −2 −1 0 1 2 3 4 5

−11

−10

−9

−8

−7

−6

−5

−4

−3

−2

−1

158) f (x) = −x2 + 4x − 5

0 1 2 3 4 5 6

−6

−5

−4

−3

−2

−1

159) f (x) = −3x2 + 6x − 2

−5 −4 −3 −2 −1 0 1 2 3 4 5 6 7 8 9

−12

−10

−8

−6

−4

−2

2

-44-

Page 136: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

160) f (x) = 1

2x2

+ 4x + 10

−6 −5 −4 −3 −2 −1 0 1

−1

1

2

3

4

5

6

161) f (x) = −x2 − 2x

−5 −4 −3 −2 −1 0 1

−4

−3

−2

−1

1

2

-45-

Page 137: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

162) f (x) = −x2 + 4x − 2

−1 0 1 2 3 4 5

−3

−2

−1

1

2

3

163) f (x) = −1

3x2

+ 2x − 6

0 1 2 3 4 5 6

−6

−5

−4

−3

−2

−1

1

-46-

Page 138: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

164) f (x) = −3x2 − 6x − 5

−12 −10 −8 −6 −4 −2 0

−14

−12

−10

−8

−6

−4

−2

165) f (x) = x2 − 3x

−1 0 1 2 3 4

−3

−2

−1

1

2

-47-

Page 139: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

166) f (x) = 2x2 − 14x +

45

2

−1 0 1 2 3 4 5 6 7 8 9

−3

−2

−1

1

2

3

4

5

6

7

167) f (x) = −3x2 − 9x − 7

−9 −8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3 4

−12

−10

−8

−6

−4

−2

-48-

Page 140: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

168) f (x) = 2x2 − 2x + 1

−3 −2 −1 0 1 2 3 4 5 6

−1

1

2

3

4

5

6

7

8

9

169) f (x) = 2x2 + 10x + 8

−6 −5 −4 −3 −2 −1 0 1 2

−5

−4

−3

−2

−1

1

2

3

4

170) f (x) = 2x2 + 14x + 27

−10 −8 −6 −4 −2 0

1

2

3

4

5

6

7

8

9

10

11

171) f (x) = −4x2 − 28x − 53

−16 −12 −8 −4 0

−20

−18

−16

−14

−12

−10

−8

−6

−4

−2

-49-

Page 141: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

172) f (x) = −2x2 + 10x − 16

−3 −2 −1 0 1 2 3 4 5 6 7 8 9

−12

−11

−10

−9

−8

−7

−6

−5

−4

−3

−2

173) f (x) = −x2 + 5x − 9

−1 0 1 2 3 4 5

−7

−6

−5

−4

−3

−2

−1

-50-

Page 142: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

174) f (x) = −2x2 − 10x −

17

2

−7 −6 −5 −4 −3 −2 −1 0 1 2 3

−5

−4

−3

−2

−1

1

2

3

4

5

175) f (x) = x2 − 3x + 3

−1 0 1 2 3 4

−1

1

2

3

4

5

-51-

Page 143: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

176) f (x) = −x2 − 7x −

57

4

−6 −5 −4 −3 −2 −1 0

−7

−6

−5

−4

−3

−2

−1

177) f (x) = x2 − 3x + 4

−1 0 1 2 3 4

1

2

3

4

5

6

-52-

Page 144: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

178) f (x) = −x2 + x −

5

4

−2 −1 0 1 2 3

−6

−5

−4

−3

−2

−1

179) f (x) = −x2 + 3x − 6

−2 −1 0 1 2 3 4 5

−8

−7

−6

−5

−4

−3

−2

−1

-53-

Page 145: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

180) f (x) = x2 − 5x + 7

−1 0 1 2 3 4 5

−1

1

2

3

4

5

181) f (x) = x2 + 7x + 15

−6 −5 −4 −3 −2 −1 0

1

2

3

4

5

6

7

-54-

Page 146: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

182) f (x) = −x2 − 9x −

69

4

−7 −6 −5 −4 −3 −2 −1 0

−3

−2

−1

1

2

3

4

5

183) f (x) = 2x2 − 14x + 21

−2 −1 0 1 2 3 4 5 6

−4

−3

−2

−1

1

2

3

4

5

-55-

Page 147: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

184) f (x) = −x2 + x + 2

−2 −1 0 1 2 3

−2

−1

1

2

3

185) f (x) = 4x2 − 20x + 27

−12 −10 −8 −6 −4 −2 0 2 4 6

2

4

6

8

10

12

14

16

18

186) f (x) = 2x2 − 2x

−5 −4 −3 −2 −1 0 1 2 3 4

−1

1

2

3

4

5

6

7

8

-56-

Page 148: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

187) f (x) = −2x2 − 6x −

11

2

−6 −5 −4 −3 −2 −1 0 1 2 3

−10

−9

−8

−7

−6

−5

−4

−3

−2

−1

188) f (x) = −1

2x2

+ 3

2x + 1

−1 0 1 2 3 4

−2

−1

1

2

3

4

-57-

Page 149: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

189) f (x) = −x2 − 5x − 7

−5 −4 −3 −2 −1 0 1

−5

−4

−3

−2

−1

1

190) f (x) = 1

2x2

+ 9

2x + 12

−7 −6 −5 −4 −3 −2 −1 0

−2

−1

1

2

3

4

5

6

-58-

Page 150: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

191) f (x) = −x2 + x +

11

4

−2 −1 0 1 2 3

−2

−1

1

2

3

4

192) f (x) = −1

2x2

− 3

2x + 1

−4 −3 −2 −1 0 1

−2

−1

1

2

3

4

-59-

Page 151: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

193) f (x) = −1

2x2

+ 7

2x − 10

0 1 2 3 4 5 6

−6

−5

−4

−3

−2

−1

194) f (x) = −x2 − 9x − 23

−7 −6 −5 −4 −3 −2 −1 0

−7

−6

−5

−4

−3

−2

−1

-60-

Page 152: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

195) f (x) = 1

2x2

− 1

2x −

7

8

−2 −1 0 1 2 3

−3

−2

−1

1

2

3

196) f (x) = −2x2 + 2x

−4 −3 −2 −1 0 1 2 3 4 5

−8

−7

−6

−5

−4

−3

−2

−1

1

-61-

Page 153: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

197) f (x) = x2 + 9x +

69

4

−7 −6 −5 −4 −3 −2 −1 0

−5

−4

−3

−2

−1

1

2

3

198) f (x) = x2 + 7x + 13

−6 −5 −4 −3 −2 −1 0

−1

1

2

3

4

5

-62-

Page 154: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

199) f (x) = 1

3x2

− 5

3x +

73

12

−1 0 1 2 3 4 5

1

2

3

4

5

6

200) f (x) = x2 − x + 3

−2 −1 0 1 2 3 4 5

1

2

3

4

5

6

7

-63-

Page 155: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

201) f (x) = 2x2 + 10x + 14

−5 −4 −3 −2 −1 0 1 2 3 4 5

1

2

3

4

5

6

7

8

9

10

202) f (x) = 2x2 + 18x + 36

−7 −6 −5 −4 −3 −2 −1 0 1 2

−5

−4

−3

−2

−1

1

2

3

4

203) f (x) = −3x2 − 27x − 63

−6 −4 −2 0 2 4 6 8

−14

−12

−10

−8

−6

−4

−2

204) f (x) = 2x2 − 6x + 1

−1 0 1 2 3 4 5 6 7 8

−4

−3

−2

−1

1

2

3

4

5

-64-

Page 156: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

205) f (x) = x2 + 5x + 2

−5 −4 −3 −2 −1 0 1

−5

−4

−3

−2

−1

1

206) f (x) = 2x2 − 10x + 11

−3 −2 −1 0 1 2 3 4 5

−2

−1

1

2

3

4

5

6

7

-65-

Page 157: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

207) f (x) = −x2 − 7x −

45

4

−6 −5 −4 −3 −2 −1 0

−4

−3

−2

−1

1

2

208) f (x) = −3x2 − 9x −

31

4

−6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7

−14

−12

−10

−8

−6

−4

−2

-66-

Page 158: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

209) f (x) = x2 + 5x + 8

−5 −4 −3 −2 −1 0 1

1

2

3

4

5

6

210) f (x) = −2x2 + 6x − 2

−5 −4 −3 −2 −1 0 1 2 3 4

−6

−5

−4

−3

−2

−1

1

2

3

-67-

Page 159: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

211) f (x) = −x2 − 9x −

65

4

−7 −6 −5 −4 −3 −2 −1 0

−2

−1

1

2

3

4

5

6

212) f (x) = −2x2 + 14x −

57

2

−3 −2 −1 0 1 2 3 4 5 6 7 8 9

−12

−10

−8

−6

−4

−2

-68-

Page 160: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

213) f (x) = −2x2 − 14x − 20

−7 −6 −5 −4 −3 −2 −1 0 1

−4

−3

−2

−1

1

2

3

4

5

214) f (x) = 2x2 − 6x + 5

−3 −2 −1 0 1 2 3 4 5 6

−1

1

2

3

4

5

6

7

8

9

215) f (x) = −x2 + x − 2

−2 −1 0 1 2 3

−6

−5

−4

−3

−2

−1

216) f (x) = 4x2 − 4x + 5

−4 −2 0 2 4 6 8 10 12 14 16

2

4

6

8

10

12

14

16

18

20

-69-

Page 161: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

217) f (x) = x2 − x + 1

−2 −1 0 1 2 3

−1

1

2

3

4

5

218) f (x) = 1

2x2

− 3

2x + 5

−1 0 1 2 3 4

1

2

3

4

5

6

-70-

Page 162: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

219) f (x) = x2 + 9x + 18

−7 −6 −5 −4 −3 −2 −1 0

−4

−3

−2

−1

1

2

3

220) f (x) = 1

2x2

− 7

2x + 9

0 1 2 3 4 5 6

−1

1

2

3

4

5

6

-71-

Page 163: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

221) f (x) = 1

2x2

+ 3

2x + 5

−4 −3 −2 −1 0 1

1

2

3

4

5

6

222) f (x) = −1

2x2

+ 5

2x − 6

0 1 2 3 4 5 6

−6

−5

−4

−3

−2

−1

1

-72-

Page 164: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

223) f (x) = −1

2x2

− 5

2x − 7

−5 −4 −3 −2 −1 0 1

−6

−5

−4

−3

−2

−1

224) f (x) = 2x2 − 2x − 1

−6 −5 −4 −3 −2 −1 0 1 2 3

−2

−1

1

2

3

4

5

6

7

-73-

Page 165: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

225) f (x) = 1

2x2

− 7

2x + 4

0 1 2 3 4 5 6

−4

−3

−2

−1

1

2

226) f (x) = −x2 − 3x

−4 −3 −2 −1 0 1

−2

−1

1

2

3

-74-

Page 166: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

227) f (x) = −x2 + 5x − 5

−1 0 1 2 3 4 5

−4

−3

−2

−1

1

2

3

228) f (x) = −x2 − 7x − 10

−6 −5 −4 −3 −2 −1 0

−3

−2

−1

1

2

3

4

-75-

Page 167: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

229) f (x) = −x2 − 7x −

37

4

−6 −5 −4 −3 −2 −1 0

−2

−1

1

2

3

4

230) f (x) = 2x2 − 10x +

21

2

−2 −1 0 1 2 3 4 5 6 7 8

−3

−2

−1

1

2

3

4

5

6

7

-76-

Page 168: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

231) f (x) = −x2 − 9x −

97

4

−9 −8 −7 −6 −5 −4 −3 −2 −1 0

−9

−8

−7

−6

−5

−4

−3

−2

−1

232) f (x) = −x2 + 7x −

61

4

−1 0 1 2 3 4 5 6 7

−8

−7

−6

−5

−4

−3

−2

−1

-77-

Page 169: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

233) f (x) = −2x2 + 2x − 3

−6 −5 −4 −3 −2 −1 0 1 2 3 4 5

−11

−10

−9

−8

−7

−6

−5

−4

−3

−2

−1

234) f (x) = 3x2 − 9x + 10

0 2 4 6 8 10 12 14

2

4

6

8

10

12

14

16

235) f (x) = 2x2 + 18x + 39

−8 −7 −6 −5 −4 −3 −2 −1 0 1

−2

−1

1

2

3

4

5

6

7

236) f (x) = x2 + 9x + 22

−7 −6 −5 −4 −3 −2 −1 0

−1

1

2

3

4

5

6

7

-78-

Page 170: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

237) f (x) = 2x2 + 10x +

31

2

−5 −4 −3 −2 −1 0 1 2 3 4 5 6 7

1

2

3

4

5

6

7

8

9

10

11

12

238) f (x) = −2x2 + 10x − 8

−1 0 1 2 3 4 5 6 7

−4

−3

−2

−1

1

2

3

4

5

-79-

Page 171: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

239) f (x) = 2x2 − 14x + 20

−2 −1 0 1 2 3 4 5 6

−5

−4

−3

−2

−1

1

2

3

4

240) f (x) = x2 + 7x +

61

4

−7 −6 −5 −4 −3 −2 −1 0 1

1

2

3

4

5

6

7

8

-80-

Page 172: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

241) f (x) = 2x2 + 6x + 1

−6 −5 −4 −3 −2 −1 0 1 2 3

−4

−3

−2

−1

1

2

3

4

5

242) f (x) = −2x2 − 18x −

87

2

−8 −7 −6 −5 −4 −3 −2 −1 0 1 2 3

−12

−11

−10

−9

−8

−7

−6

−5

−4

−3

−2

-81-

Page 173: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

243) f (x) = 2x2 − 6x + 6

−3 −2 −1 0 1 2 3 4 5 6

1

2

3

4

5

6

7

8

9

10

244) f (x) = −2x2 + 2x −

3

2

−2 −1 0 1 2 3 4 5 6 7

−10

−9

−8

−7

−6

−5

−4

−3

−2

−1

-82-

Page 174: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

245) f (x) = −x2 + 7x − 16

−1 0 1 2 3 4 5 6 7

−8

−7

−6

−5

−4

−3

−2

−1

246) f (x) = −1

2x2

− 5

2x − 1

−6 −5 −4 −3 −2 −1 0

−2

−1

1

2

3

4

-83-

Page 175: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

247) f (x) = −x2 + 7x − 8

0 1 2 3 4 5 6

−1

1

2

3

4

5

248) f (x) = 1

2x2

+ 9

2x + 9

−7 −6 −5 −4 −3 −2 −1 0

−4

−3

−2

−1

1

2

3

-84-

Page 176: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

249) f (x) = −x2 + 5x − 10

0 1 2 3 4 5 6 7 8

−8

−7

−6

−5

−4

−3

−2

−1

250) f (x) = −1

2x2

+ 7

2x − 5

0 1 2 3 4 5 6

−3

−2

−1

1

2

3

4

-85-

Page 177: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

251) f (x) = −1

3x2

+ x − 2

−1 0 1 2 3 4

−4

−3

−2

−1

1

252) f (x) = 1

2x2

− 1

2x + 1

−2 −1 0 1 2 3

−2

−1

1

2

3

4

-86-

Page 178: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

253) f (x) = −4x2 + 4x + 3

−8 −6 −4 −2 0 2 4 6 8

−12

−10

−8

−6

−4

−2

2

4

254) f (x) = 2x2 + 6x + 5

−4 −3 −2 −1 0 1 2 3 4 5

−1

1

2

3

4

5

6

7

8

9

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Page 179: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

255) f (x) = x2 − x +

9

4

−3 −2 −1 0 1 2 3 4

1

2

3

4

5

6

7

256) f (x) = 2x2 − 10x + 16

−3 −2 −1 0 1 2 3 4 5 6 7 8 9

1

2

3

4

5

6

7

8

9

10

11

12

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Page 180: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

257) f (x) = 4x2 + 36x + 82

−8 −6 −4 −2 0 2 4 6 8

2

4

6

8

10

12

14

16

18

258) f (x) = −2x2 − 6x − 7

−5 −4 −3 −2 −1 0 1 2 3 4 5 6

−11

−10

−9

−8

−7

−6

−5

−4

−3

−2

−1

259) f (x) = −2x2 + 14x − 27

0 1 2 3 4 5 6 7 8 9 10

−11

−10

−9

−8

−7

−6

−5

−4

−3

−2

−1

260) f (x) = −2x2 + 6x − 6

−3 −2 −1 0 1 2 3 4 5 6

−10

−9

−8

−7

−6

−5

−4

−3

−2

−1

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Page 181: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

261) f (x) = 2x2 + 14x + 20

−6 −5 −4 −3 −2 −1 0 1 2

−5

−4

−3

−2

−1

1

2

3

4

262) f (x) = −x2 + 5x −

29

4

−1 0 1 2 3 4 5

−6

−5

−4

−3

−2

−1

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Page 182: Graphing quadratic functions - Standard form · 2015-12-06 · MATHEMANIA.COM Graphing quadratic functions - Standard form Connect the dots and graph solution: 1) f (x) = 2x (x) =

263) f (x) = 3x2 − 3x − 3

−7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6

−4

−2

2

4

6

8

264) f (x) = −x2 − 3x − 1

−4 −3 −2 −1 0 1

−3

−2

−1

1

2

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