1. 6.7 Graphing Absolute Value Equations

2. 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

3. 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.

4. 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

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

6. 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 |

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

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

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

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

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