Apply rules for transformations by graphing absolute value

Apply rules for transformations by graphing absolute value functions. 2 -7 ABSOLUTE VALUE FUNCTIONS AND GRAPHS

Absolute Value Function � V-shaped graph that opens up or down �Up when positive, down when negative � Parent function: y = |x| � Axis of symmetry is the vertical axis through the middle of the graph. � Has a single maximum point OR minimum point called the vertex.

Translation � Shift of a graph horizontally, vertically, or both. � Same size and shape, different position

Try it. � Create a table and sketch the graph of the following: � y = |x| + 2 � y = |x| - 3 � What do you notice?

Vertical Translation � Start with the graph of y = |x| � y = |x| + k translates the graph up � y = |x| - k translates the graph down

Try this. � Create a table and sketch the graph of the following: � y = |x + 3| � y = |x – 1| � What do you notice?

Horizontal Translation � Start with the graph of y = |x| � y = |x + h| translates the graph to the left � y = |x – h| translates the graph to the right.

Vertical Stretch and Compression �

General Form �

Writing Absolute Value Functions �

Assignment � Odds p. 111 #13 -33