Absolute Value functions Ch. 5.8 Absolute Value Functions and Graphs EQ: How can we graph absolute value functions? I will graph absolute value functions.

BellWork Sketch a graph of these functions on the same coordinate plane. y = x y = 2x y = x – 1 EQ: How can we graph absolute value functions? I will graph absolute value functions.

Parent functions EQ: How can we graph absolute value functions? I will graph absolute value functions.

The Absolute Value parent function, f(x)=|x| EQ: How can we graph absolute value functions? I will graph absolute value functions.

Graphing an Absolute Value Function EQ: How can we graph absolute value functions? I will graph absolute value functions.

Graphing an Absolute Value Function Now you try… What is the graph of the function y = |x| + 2? How is this different from the parent function? EQ: How can we graph absolute value functions? I will graph absolute value functions.

Identifying Transformations Without graphing, what are the vertex and axis of symmetry of the graph of y= 3|x - 2|+ 4? How is the parent function transformed? EQ: How can we graph absolute value functions? I will graph absolute value functions.

Identifying Transformations What are the vertex and axis of symmetry of y = 2|x - 1| - 3? EQ: How can we graph absolute value functions? I will graph absolute value functions.

Practice Absolute value transformations F(X) = |X| Green F(x) = |X| + 2 Black F(X) = |X| -5 Light blue F(X) = -|x| Red F(X) = ½ |X| Orange F(X) = 3|X| Brown F(X) = |X-4| Yellow F(X) = |X + 3| Pink EQ: How can we graph absolute value functions? I will graph absolute value functions.

EQ: How can we graph absolute value functions EQ: How can we graph absolute value functions? I will graph absolute value functions.