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

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

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.

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

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)

Graph the function – name 3 points 1) x y

Graph the function – name 3 points 2) x y

Graph the function – name 3 points 3) x y

Graph the function – name 3 points 4) x y

State the transformations and then graph the function x y

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