200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex...
-
Upload
ethelbert-cooper -
Category
Documents
-
view
261 -
download
0
Transcript of 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex...
![Page 1: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/1.jpg)
200
500
100
300
400
500
100
200
300
400
500
100
200
300
400
500
100
200
300
400
500
100
ComplexNumbers Factoring Graphing Quadratic
Function Vocab
200
300
400
![Page 2: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/2.jpg)
The expression can be written in standard form as:
€
4i + 8i2
![Page 3: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/3.jpg)
€
−8 + 4i
![Page 4: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/4.jpg)
The expression can be written in standard form as:
€
−17 + 2i −14i2
![Page 5: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/5.jpg)
€
−3 + 2i
![Page 6: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/6.jpg)
The expression can be written in standard form as:
€
7 − 3i −12i2
![Page 7: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/7.jpg)
€
19 − 3i
![Page 8: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/8.jpg)
The expression can be written in standard form as:
€
i 4 − 2i( )
![Page 9: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/9.jpg)
€
2 + 4i
![Page 10: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/10.jpg)
The expression can be written in standard form as:
€
−3+ 5i( ) 4 − 2i( )
![Page 11: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/11.jpg)
€
−2 + 26i
![Page 12: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/12.jpg)
What are the factors of this expression?
€
x 2 + 3x + 2
![Page 13: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/13.jpg)
€
x + 2( ) x +1( )
![Page 14: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/14.jpg)
What are the factors of this expression?
€
x 2 + x − 6
![Page 15: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/15.jpg)
€
x − 2( ) x + 3( )
![Page 16: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/16.jpg)
What are the factors of this expression?
€
x 2 −12x + 35
![Page 17: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/17.jpg)
€
x − 5( ) x − 7( )
![Page 18: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/18.jpg)
What are the factors of this expression?
€
2x 2 − x − 3
![Page 19: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/19.jpg)
€
2x − 3( ) x +1( )
![Page 20: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/20.jpg)
What are the factors of this expression?
€
14x 2 −191x − 403
![Page 21: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/21.jpg)
€
2x − 31( ) 7x +13( )
![Page 22: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/22.jpg)
Graph the function
![Page 23: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/23.jpg)
![Page 24: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/24.jpg)
Graph the function
![Page 25: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/25.jpg)
![Page 26: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/26.jpg)
Graph the function
![Page 27: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/27.jpg)
![Page 28: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/28.jpg)
Graph the function
![Page 29: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/29.jpg)
![Page 30: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/30.jpg)
Graph the function
![Page 31: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/31.jpg)
![Page 32: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/32.jpg)
€
x 2 + 3x − 7 = 0Solve the Quadratic Equation,
![Page 33: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/33.jpg)
x = 1.54138
x = -4.5413
![Page 34: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/34.jpg)
Solve the Quadratic Equation,
€
x 2 − 5x −12 = 0
![Page 35: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/35.jpg)
x = 6.77200
x = -1.7720
![Page 36: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/36.jpg)
Solve the Quadratic Equation,
€
x 2 + 3x + 4 = 0
![Page 37: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/37.jpg)
x = -1.5 - 1.32287i
x = -1.5 + 1.32287i
![Page 38: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/38.jpg)
Solve the Quadratic Equation,
€
x 2 − 2x + 7 = 0
![Page 39: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/39.jpg)
x = 1 - 2.44948i
x = 1 + 2.44948i
![Page 40: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/40.jpg)
Solve the Quadratic Equation,
€
x 2 +123x + 789 = 0
![Page 41: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/41.jpg)
x = -6.7893
x = -116.21
![Page 42: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/42.jpg)
The U-shaped graph of aquadratic function.
![Page 43: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/43.jpg)
Parabola
![Page 44: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/44.jpg)
The lowest or highest point of a quadratic function
![Page 45: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/45.jpg)
Vertex
![Page 46: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/46.jpg)
The method used to write a trinomial as a product of two binomials.
![Page 47: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/47.jpg)
Factoring
![Page 48: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/48.jpg)
An equation in one variable in the form of the quadratic formula where y=0.
![Page 49: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/49.jpg)
Quadratic Equation
![Page 50: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/50.jpg)
The number used to determine the equation’s number and type of solutions.
![Page 51: 200 500 100 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Complex Numbers FactoringGraphing Quadratic Function Vocab 200.](https://reader035.fdocuments.net/reader035/viewer/2022062317/5a4d1af07f8b9ab05997dd63/html5/thumbnails/51.jpg)
Discriminant