10-1 Exploring Quadratic Graphs (with calculator).
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Transcript of 10-1 Exploring Quadratic Graphs (with calculator).
![Page 1: 10-1 Exploring Quadratic Graphs (with calculator).](https://reader036.fdocuments.net/reader036/viewer/2022082622/5a4d1bc57f8b9ab0599d48f5/html5/thumbnails/1.jpg)
10-1 Exploring Quadratic Graphs(with calculator)
![Page 2: 10-1 Exploring Quadratic Graphs (with calculator).](https://reader036.fdocuments.net/reader036/viewer/2022082622/5a4d1bc57f8b9ab0599d48f5/html5/thumbnails/2.jpg)
Warm-up
1) What is the cost of 95 min with company B?
2) What is the cost of 132 min with company A?
3) What is the cost of 178 min with company C?
Company Monthly Cost for 100 Min
Monthly Cost for over 100 Min
A 25.00 0.05
B 21.00 0.07
C 19.00 0.09
![Page 3: 10-1 Exploring Quadratic Graphs (with calculator).](https://reader036.fdocuments.net/reader036/viewer/2022082622/5a4d1bc57f8b9ab0599d48f5/html5/thumbnails/3.jpg)
Notes
Parabola y = ax2 + bx + c
Axis of Symmetry – fold or line that divides parabola into 2 matching halves
Vertex – highest or lowest point of a parabolaIf a>0, then parabola opens up (minimum)
If a<0, then parabola opens down (maximum)
![Page 4: 10-1 Exploring Quadratic Graphs (with calculator).](https://reader036.fdocuments.net/reader036/viewer/2022082622/5a4d1bc57f8b9ab0599d48f5/html5/thumbnails/4.jpg)
Parabola
![Page 5: 10-1 Exploring Quadratic Graphs (with calculator).](https://reader036.fdocuments.net/reader036/viewer/2022082622/5a4d1bc57f8b9ab0599d48f5/html5/thumbnails/5.jpg)
Examples: Activity 24Function Sketch Value of a Open up
or downVertex highest or lowest
Axis of symmetry
Same, Narrow or Wide
Y = x2 1 up lowest X=0 sameY = -1x2
Y = 6x2
Y = -6x2
Y=0.3x2
Y=-0.3x
![Page 6: 10-1 Exploring Quadratic Graphs (with calculator).](https://reader036.fdocuments.net/reader036/viewer/2022082622/5a4d1bc57f8b9ab0599d48f5/html5/thumbnails/6.jpg)
Notes
What does “a” do to the graph?
![Page 7: 10-1 Exploring Quadratic Graphs (with calculator).](https://reader036.fdocuments.net/reader036/viewer/2022082622/5a4d1bc57f8b9ab0599d48f5/html5/thumbnails/7.jpg)
Examples: Activity 25Function Sketch Value of c Coordinates
of VertexAxis of Symmetry
Y = 1x2 + 0
Y = 1x2 + 2
Y = 1x2 – 4
Y = 1x2 – 8.5
![Page 8: 10-1 Exploring Quadratic Graphs (with calculator).](https://reader036.fdocuments.net/reader036/viewer/2022082622/5a4d1bc57f8b9ab0599d48f5/html5/thumbnails/8.jpg)
Notes
What does “c” do to the graph?
![Page 9: 10-1 Exploring Quadratic Graphs (with calculator).](https://reader036.fdocuments.net/reader036/viewer/2022082622/5a4d1bc57f8b9ab0599d48f5/html5/thumbnails/9.jpg)
Examples: Activity 26
Function Sketch Value of b
Coordinates of Vertex
Axis of Symmetry
Y = x2 + 12
Y = x2 – 4x + 12
Y = x2 + 11x + 12
Y = x2 – 8.8x + 12
![Page 10: 10-1 Exploring Quadratic Graphs (with calculator).](https://reader036.fdocuments.net/reader036/viewer/2022082622/5a4d1bc57f8b9ab0599d48f5/html5/thumbnails/10.jpg)
Notes
What does “b” do to the graph?