6.7 Graphing Absolute Value Equations  

Vertical Translations Below are the graphs of y = | x | and y = | x | + 2. Describe how the graphs are the same and how they are different. y = | x | y = | x | + 2

Vertical Translations The graphs are the same shape. The y – intercept of the first graph is 0. The y – intercept of the second graph is 2. The graph moved up two places on the y – axis, but stayed the same shape.

Graphing a Vertical Translation Graph y = | x | - 1. Start with the graph of y = | x |. Translate the graph down 1 unit. y = | x | y = | x | - 1

Writing an Absolute Value Equation Write an equation for each translation of y = | x |. 8 units down. 6 units up.

Graphing a Horizontal Translation Graph each equation by translating y = | x |. y = | x + 2 | y = | x – 2 | y = | x | y = | x + 2 | y = | x | y = | x - 2 |

Writing an Absolute Value Equation Write an equation for each translation of y = | x |. 4 units right. 3 units left.

Graph the following equations. y = | x – 2 |

Graph the following equations. y = |x| - 2

Graph the following equations. y = | x + 3 |

More Practice!!!! Homework - Textbook p. 327 – 328 # 2 – 26 even