Solve each equation by factoring.
Solve using square roots.
Quadratic Properties
Quadratic Functions
100

2x2+x=0

0, -1/2

100

x2=36

6,-6

100

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

What is zero?

100

How many solutions does 0=x2+4 have?

none

200

n2 + 12n = -36

-6

200

4x2 + 25 = 125

x= 5 or x = -5

200

The vertex of the quadratic function y = 5x2 + 10x - 2 is a (maximum or minimum) point.

What is minimum?

200

What shape is a quadratic function?

Parabola

300

p+ 2p - 10 = 5

-5, 3

300

(4x + 1)2 - 16 = 0

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

300

What is the vertex of the function?

f(x) = -(x+3)2+7

(-3,7)

300

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

y= 1 - 2x2 + 3x

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

400

x2-25=0

-5,5

400

34 = (a - 2)2 - 2

a = 8 or a = -4

400

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?

400

Rewrite in factored form: 

f(x) = x2+7x+10

f(x)=(x+2)(x+5)
500

1/81 - 49x2 = 0

1/63, -1/63

500

0 = 3(x + 7)2 - 24

x = -7 + 2 square root of 2

or

x = -7 - 2 square root of 2

500

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

What is x=7?

500

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

What is (0,0)?

M
e
n
u