Quadratics Final Review

Characteristics

100

Does this graph open up or down? AND does it have a minimum or maximum? y = -.5x² + 3x - 20

Down, maximum

200

Find the vertex of y = x² − 12x + 11

(6, -25)

300

Find the axis of symmetry of y = x² + 14x − 15

x=-7

400

Put the following equations in order from widest to narrowest. y=3x², y=-4x², y=.75x²

y=.75x², y=3x², y=-4x²,

500

Find the vertex of y = -3x² − 4 + 6x

(1, -1)

Solving Quadratics By Square Roots

100

Solve the equation by taking the square root : 

x² = 9

x = 3 or x = -3

200

Solve the equation by taking the square root : 

7x² = 63

x = 3 or x = -3

300

Solve the equation by taking the square root : 

x²+9=13

x = 2 or x = -2

400

Solve the equation by taking the square root : 

5x² + 15 = 64 + 4x²

x = 7 or x = -7

500

Solve the equation by taking the square root : 

3x² + 68 = 20

No Real Solutions

Solve by Factoring

100

Solve x² + 2x - 3 = 0

x = -3,1

200

Solve x² - 5x + 6 = 0

x = 2, 3

300

Solve x² + 16 = 10x

x = 2, 8

400

Solve 6n² - n = 2

n = -1/2, 2/3

500

Solve 2x² - 8 = 31x - 2x²

x = -1/4, 8

Quadratic Formula

100

Use the discriminant to list how many solutions the following equation has. 4x² + 3x = 16

2 Real Solutions

200

Use the discriminant to list how many solutions the following equation has. 2x² - 6x = -9

No Real Solutions

300

Solve x² − 4x + 4 = 0

x = 2

400

Solve 4x² + 8x + 7 = 4

x = -1/2, -3/2

500

Solve x² − 31 − 2x = −6 − 3x² − 2x

x = 5/2, -5/2