5.8 Graphing Absolute Value Functions I can graph an absolute value function and translate the graph of an absolute value function.

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Presentation transcript:

5.8 Graphing Absolute Value Functions I can graph an absolute value function and translate the graph of an absolute value function.

Absolute Value Function  V-shaped graph that opens up or down  Up when positive, down when negative  Parent function: y = |x|

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| + b translates the graph up  y = |x| - b translates the graph down  What is the graph of y = |x| + 2?

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.

Assignment  Odds  P.349 #7-19, 23-35