Absolute Value Functions

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Presentation transcript:

Absolute Value Functions Algebra 2 2-9

Absolute Value Inequality

Absolute Value Functions General form of Absolute Value Function f(x) = |x – h| + k Absolute Value Functions

Absolute Value Functions

Absolute Value Functions

Absolute Value Functions

Absolute Value Functions

Absolute Value Functions

Absolute Value Functions

Absolute Value Functions Practice Let g(x) be the indicated transformation of f(x) = |x|. Write the rule for g(x) and graph the function 3 unit right g(x) = |x – 3| 8 unit down g(x) = |x| – 8 Reflected across the x-axis g(x) = – |x| Absolute Value Functions Practice

Absolute Value Functions Practice Translate f(x) = |x| so that the vertex is at the given point (3, – 5) g(x) = | x – 3| – 5 (– 0.5, 12) g(x) = | x + 0.5| + 12 Absolute Value Functions Practice

Absolute Value Functions Practice Let g(x) be the indicated transformation of f(x) = |x|. Write the rule for g(x) and graph the function 5 unit left followed by a reflection in the y-axis g(x) = | – x + 5| Stretched by 3 horizontally g(x) = |x/3| 2 unit down and stretched 5 vertically g(x) = 5|x| – 10 Absolute Value Functions Practice

Pages 161 – 163 9 – 13, 15 – 17, 27 – 29, 44, 47 Homework