Solve each equation by factoring.
Solve using square roots(difference of squares).
Solve each equation with the quadratic formula
☠Pick your Poison (choose method)
Quadratic Properties
Quadratic Functions
100

p2 + -2p - 10 = 5

5, -3

100

4x2 + 25 = 125

x= 5 or x = -5

100

m2 − 5m − 14 = 0

{7, −2}

100

a2 + 14a - 51 = 0

{3, -17}

100

The value of "a" for a graph of a quadratic function opening downward.

What is negative?

100

The "b" of the quadratic function y=2x2 + 5

What is zero?

200

9n2 + 39n = -36

-4/3, -3

200

(4x + 1)2 - 16 = 0

x = 3/4 or x = -5/4

200

b2 − 4b + 4 = 0

{2}

200

x2 − 12x + 11 = 0

{11, 1}

200

The vertex of the quadratic function y = 5x2 + 10x - 2 is a ____________________ point.

What is minimum?

200

The "a", "b" and "c" of the quadratic function 

y= 1 - 2x2 + 3x

What is a=-2, b=3 and c=1?

300

7r2 + 84 = -49r

-4, -3

300

34 = (a - 2)2 - 2

a = 8 or a = -4

300

2x2 − 3x − 5 = 0

{5/2 , −1}

300

n2 = 18n + 40

{20, −2}

300

Order the following quadratic functions from narrowest to widest:

y=4x2   y=-12x2   y=11x2   y=-2x2

What is y=-12x2, y=11x2, y=4x2, y=-2x2?

300

The coordinates of the y-intercept for the quadratic function y=3x2 + 2x

What is (0,0)?

400

3v2 + 7v = 40

8/3, -5

400

4x2+49=0

no solution

400

9n2 = 4 + 7n

{(7+sqrt193)/18, (7-sqrt193)/18}

400

x2 − 10x + 26 = 8

{5+sqrt7, 5-sqrt7}


400

Order the following quadratic functions from widest to narrowest:

y=4x2   y=2/3 x2   y=-2x2   y=-2/5 x2

What is y=-2/x2, y=2/3 x2, y=-2x2, y=4x2

400

Find the axis of symmetry for the quadratic function y=2x2 + 6x + 4.

What is x = -3/2?

500

0 = 3(x + 7)2 - 24

{-7+2sqrt2, -7-2sqrt2}

500

If a quadratic function has a root at (-3,0) and a maximum at (2,5), then what is the other root?

What is x=7?

500

If the axis of symmetry is x = 1/2 for the quadratic function y=2x2 - 2x + 3, the coordinates of the vertex is ____________________.

What is (1/2, 5/2)?