Solve by Factoring
Factored to Standard
Standard to Factored
Characteristics of Quadratic Functions
AROC
100

Solve: x2 + 5x + 6 = 0

What is -3 and -2?

100

Convert (x+3)(x+4)

What is x2 + 7x + 12?

100

Factor x2 + 6x + 8

What is (x + 4)(x + 2)?

100

The vertex of y = (x - 3)2 + 2

DOUBLE POINTS

What is (3 , 2)?

100

The AROC of f(x) = x2 from [1 , 3]

What is 4?

200

Solve x2 - 7x + 12 = 0

What is 3 and 4?

200
Convert (x - 5)(x + 2)

What is x2 - 3x - 10?

200

Factor x2 - 9

What is (x + 3)( x - 3)? Difference of Squares

200

The axis of symmetry for y = x2 - 4x + 1

What is x = 3?

200

The AROC for f(x) = x2 + 2x from [0 , 4]

DOUBLE POINTS

What is 6?

300

Solve 2x2 + 7x + 3 = 0

What is -3 and -0.5?

300

Convert (2x - 1)(x + 3)

What is 2x2 +5x - 3?

300

Factor x2 - 16x + 64

DOUBLE POINTS

What is (x - 8)?

300

Does the parabola open up or down y = -2(x + 1)2 + 5

What is opens down?

300

The AROC for f(x) = -x2 + 4x from [2 , 5]

What is -3?

400

Solve x2 - 16 = 0

DOUBLE POINTS

What is -4 and 4? Difference of Squares

400

Convert (x - 6)2

What is x2 - 12x + 36?

400

Factor 2x2 + 7x + 3

What is (2x + 1)(x + 3)?

400

The y-intercept for y = x2 - 6x
+ 8

What is (0 , 8)?

400

The AROC for x2 - 3x + 2 from [-1 , 2]

What is -2?

500

Solve 3x2 - 12x = 0

What is 0 and 4?

500

Convert (x - 4)(x + 4)

DOUBLE POINTS

What is x2 - 16? Difference of Squares

500

Factor x2 - 25

What is (x - 5)(x + 5)? Difference of Squares

500

The vertex for y = x2 +4x + 3

What is (-2 , -1)?

500

The AROC for 2x2 - x from [3 , 7]

What is 19?