Graph Absolute Value Equations

Example 1Graph

( )f x x

Example 2Graph

2y x

Example 3Graph

3y x

Example 4Graph

2 3y x

Graph

Example 5-On Own5 3y x

Vertex=(h,k)

Graph in form

y x h k

Graph

Example 6-On Own( ) 3 2f x x

Graph

Example 7-On Own4 1y x

Graph

Example 8-On Own5 3y x

A.

B.

C.

D.

Quick ReviewGive the vertex of the equations

( ) 3 2f x x

6 3y x

( ) 5 8f x x

9 11y x

HW #54 Graphing Absolute Values Worksheet

Homework

Graph the following:

Example 92 3y x

Graph:

Example 10( ) 2 3 2f x x

Graph:

Example 111

( ) 3 22

f x x

For the function ◦ 1. Tell whether it opens up or down

◦ 2. Identify the vertex

◦ 3. Tell whether the function is wider, narrower, or the same width as graph of

Example 12( ) 3 2 4f x x

y x

For the function◦ 1. Tell whether it opens up or down

◦ 2. Identify the vertex

◦ 3. Tell whether the function is wider, narrower, or the same width as graph of

Example 131

( ) 3 23

f x x

y x

Write an equation of the graph

Example 14

HW #56 Graph Absolute Value Equations Worksheet

Homework

The graph of the function y=f(x) is shown

Sketch the graph of

Example 15

1( )

3y f x

y=f(x-1)+3

Ex. 15 Cont

Use the graph of y=x shown to sketch the graph of the given function

1. y=f(x+2)-3 4. y=-3·f(x) 2. f(x-4)+1 5. y=-f(x-1)+4 3. y=.5·f(x) 6. y=2f(x+3)-1

Example 16

HW #25 Review Worksheet

Homework

Okay so let’s try this one more time

Let’s use f(x)=x+1

Now graph y=f(x)+2

Now Graph y=f(x-2)

Now Graph y=1( )

4f x

Now Graph y=-2f(x)

Now Graph y=3f(x+2)-1

Now Graph –f(x-1)+3

HW #26 Worksheet

Homework