y=a(x-p)(x-q) Quadratic Functions To find x-intercepts... Set y=o and solve. This should be fast as the function is already factored.

Given: y = 5(x-4)(x+8)

0 = 5(x-4)(x+8)

0 = x-4 and 0=x+8

x = 4 and x = -8

(4, 0) and (-8, 0) To find the vertex... The x-value of your vertex is half-way between the x-values of the x-intercepts.

Find the vertex of: y = 5(x-4)(x+8)

x = (4-8)/2 = -2

y = 5(-2-4)(-2+8) = -180

Vertex: (-2, -180) To find the y-intercept... Set x = 0 and solve for y. Make sure to follow the order of operations and write your answers as coordinate pair. y=a(x-p)(x-q)

This form of a quadratic

function is convenient because

it clearly shows the x-intercepts

of the function. Given: y = 5(x-4)(x+8)

y = 5(0-4)(0+8)

y = 5(-4)(8)

y = -160

(0, -160) Practice:

Find the x-intercepts,

vertex, and y-intercept

of the function

y=-2(x+3)(x-5) x -int: (-3, 0) and (5, 0)

vertex: (1, 32)

x = (-3+5)/2= 1

y = -2(1+3)(1-5) = -2(4)(-4) = 32

y-int: (0, 30)

y = -2(0+3)(0-5) = -2(3)(-5) = 30 Works Cited

### Present Remotely

Send the link below via email or IM

CopyPresent to your audience

Start remote presentation- Invited audience members
**will follow you**as you navigate and present - People invited to a presentation
**do not need a Prezi account** - This link expires
**10 minutes**after you close the presentation - A maximum of
**30 users**can follow your presentation - Learn more about this feature in our knowledge base article

Do you really want to delete this prezi?

Neither you, nor the coeditors you shared it with will be able to recover it again.

### Make your likes visible on Facebook?

Connect your Facebook account to Prezi and let your likes appear on your timeline.

You can change this under Settings & Account at any time.

# Quadratic Function y=a(x-p)(x-q)

No description

by

Tweet