Solve by factoring (1)
Solve using square roots.
Solve by Factoring(2)
Quadratic Properties
Quadratic Functions
100

p2 +2p - 3 = 0

1, -3

100

4x2 =100

x= 5 or x = -5

100

x2-4=0

{2, -2}

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

n2 - 15n +36=0

12, 3

200

(4x + 1)2 - 16 = 0

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

200

x2 − 36x=0

{0, 36}

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

r2 -2r =35

7, -5

300

34 = (a - 2)2 - 2

a = 8 or a = -4

300

2x2-50=0

{5, −5}

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 + 9v -54=0

3, -6

400

0 = 3(x + 7)2 - 24

x = -7 + 2 square root of 2

or

x = -7 - 2 square root of 2

400

5x2 -7x=0

{0, 7/5}

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

2x2+5x+2=0

-1/2, -1

500
3(x-3)2+18=0


No solution

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)?