Absolute Value Functions

Absolute Value Functions

Graphing Absolute Value Functions & Finding the Vertex

The Parent Function

VERTEX FORM

Multiple Choice

What is the vertex of the following function?
y= 4|x|+1

• (0,1)
• (4,1)
• (-4,1)
• (4,-1)

Multiple Choice

What is the vertex of the following function?
y= -4|x+2|+5

• (-4,2)
• (-2,5)
• (-4,-2)
• (2,5)

Translating Absolute Value Functions

Steps to Graphing

• Find the vertex (-h, k)

• Graph the vertex

• EITHER ...

• A. Move according to the slope

• B. Create a table to represent your function and graph these points

Multiple Choice

Determine the transformation

• Left 5, up 1
• Left 5, down 1
• Right 5, up 1
• Right 5, down 1

Multiple Choice

Determine the transformation 

• left 3, up 2
• right 3, up 2
• left 3, down 2
• right 3, down 2

Multiple Choice

Choose the correct equation for the graph.

• $y=\left|x-6\right|-3$

• $y=\left|x-6\right|+3$

• $y=\left|x+6\right|+3$

• $y=\left|x+6\right|-3$

Multiple Choice

Choose the correct equation for the graph.

• $y=\left|x+3\right|-4$

• $y=\left|x-3\right|-4$

• $y=\left|x+3\right|+4$

• $y=\left|x-3\right|+4$

Multiple Choice

Choose the correct equation for the graph.

•  $y=\left|x+2\right|$

• $y=\left|x-2\right|$

• $y=\left|x\right|+2$

• $y=\left|x\right|-2$

Multiple Choice

Choose the correct equation for the graph.

•  $y=\left|x+2\right|$

• $y=\left|x-2\right|$

• $y=\left|x\right|+2$

• $y=\left|x\right|-2$

Multiple Choice

Choose the correct equation for the graph.

•  $y=\left|x+2\right|$

• $y=\left|x-2\right|$

• $y=\left|x\right|+2$

• $y=\left|x\right|-2$

Multiple Choice

Choose the correct equation for the graph.

•  $y=\left|x+2\right|$

• $y=\left|x-2\right|$

• $y=\left|x\right|+2$

• $y=\left|x\right|-2$

Using a - your slope

Multiple Choice

What is the equation of the absolute value function?

• f(x)= 4|x+3|
• f(x)= 1/4 |x+3|
• f(x)= 1/4 |x - 3|
• f(x)= 4|x - 3|

Multiple Choice

Use Narrower, Wider, or Same to compare the width of this graph to its parent function.

y = -|x| + 9

• Narrower

• Wider

• Same

Multiple Choice

Use Narrower, Wider, or Same to compare the width of this graph to its parent function.

y = 4|x + 3| - 2

• Narrower

• Wider

• Same

Multiple Choice

What is the value of A?

f(x) = -2|x - 4| + 3

• -4

• 2

• -2

• 3

Multiple Select

Select all that apply. (May have more than one answer)

Which letter(s) does the function have?

f(x) = 4|x-2|+1

• H

• A

• K

• None

Multiple Select

Select all that apply. (May have more than one answer)

Which letter(s) does the function have? 

f(x) = -|x+3|

• H

• A

• K

• None

Multiple Choice

Describe each transformation

• stretch by factor of 1/4, right 3, down 1
• stretch by factor of 1/4, right 3, up 1
• stretch by factor of 1/4, left 3, down 1
• stretch by factor of 1/4, left 3, up 1

Multiple Choice

How you feeling about absolute value function basics?

• Thumbs up :)

• Thumbs down :(

• Thumbs sideways

Open Ended

What questions do you have for Ms. Flanagan regarding graphing absolute value functions?

Open Ended

What questions do you have for Ms. Flanagan regarding using the vertex of absolute value functions?

Open Ended

What questions do you have regarding Chapter 5?