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

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

No description

by

Tweet