1. 2.8 Absolute Value Functions
Goals:
To graph absolute value functions
To identify transformations of absolute value functions.

2. Graphing on TI-83/84 Press Y= Enter equation into Y= screen
For absolute value, press MATH-RightArrow-1
Be sure to close off parentheses

3. The general absolute value equation:
if -, then Reflection Across the X-axis (RAX)
if + b, horizontal shift left b.
If – b, horizontal shift right b.
if a > 1, vertical shrink by a factor of a.
if a < 1, vertical stretch by a factor of a.
if + c, vertical shift up c.
If – c, vertical shift down c.

4. Graphing Absolute Value Functions
Graph the vertex
Plot two points on either side of the vertex
Use the slope/plug it in and the fact that the graph is symmetric
Connect three points to make a v-shaped graph

5. What are the transformations of the following equations?
h. shift right 2
v. shift up 5 1)
RAX
h. shift left 7
v. shift down 14 2)
v. stretch by a factor of 2/3
h. shift left 1 3)
RAX
v. shrink by a factor of 4
h. shift right 10
v. shift down 3 4)

6. Graph the function – name 3 points1) x y

7. Graph the function – name 3 points2) x y

8. Graph the function – name 3 points3) x y

9. Graph the function – name 3 points4) x y

10. State the transformations and then graph the functionx y

11. Homework
p. 126
18-25 all
34-36 all