Review - Parts of Quadratics

Axis and Vertex

100

Find the Axis of Symmetry

y = x² + 10x + 24

x = -5

200

y = x² + 10x + 24

Vertex?

(-5, -1)

300

y = x² + 8x - 20

The vertex?

(-4, -36)

400

g(x) = 2x² - 12x - 8

Axis of Symmetry? 

x = 3

Finding Zeros

100

x² + 10x + 24 = 0

-6, -4

200

0 = (x + 3)(x - 5)

-3, 5

300

3x² - 3x - 6 = 0

-1, 2

400

3x² + 14x + 8 = 0

-2/3, -4

Solving Quad. Eqs.

100

x² - 3x - 40 = 0

8, -5

200

x² + 7x + 12 = 0

-3, -4

300

9x² = 144

4, -4

400

7x² - 6 = 19x

-2/7, 3

Other

100

y = x² + 10x + 24

Open Up or Down?

Up

200

y = x² + 10x + 24

Y-Intercept?

24

300

A man tries to kick a ball into a basketball goal. The ball can be modeled by f(x) = -16x² + 40x, where x is the time in seconds. How high does the ball go?

25 ft

400

A man tries to kick a ball into a basketball goal. The ball can be modeled by f(x) = -16x2 + 40x, where x is the time in seconds. How long is the ball in the air? 

2.5 sec