2.2.4 Absolute-Value Functions (continued) Example 2 Translations of an Absolute-Value Function Translating the parent absolute-value function horizontally h units and vertically k units shifts the vertex of the translation g from (0, 0) to ( h , k ), and g ( x ) = | x − h | + k .
Example 3 Transforming Absolute-Value Functions Suppose that g is the image after the given transormation of f . • Reflection across the x -axis: g ( x ) = − f ( x ) • Vertical strech and compression: g ( x ) = af ( x )
• Reflection across the y -axis: g ( x ) = f ( − x ) • Horizontal strech and compression: g ( x ) = f ( x / b )
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