2.2.4 Absolute-Value Functions - Worksheet
Example 1: Let g ( x ) be the indicated transformation of f ( x ) = | x | . Write the rule for g ( x ) and graph the function. 1. 5 units down 2. 4 units left
Example 2: Translate f ( x ) = | x | so that the vertex is at the given point. Then graph. 3. ( − 4, − 5) 4. (1, 6)
Example 3: Perform each transformation. Then graph. 5. Reflect the graph of f ( x ) = |2 x + 3| − 4 across the y -axis.
6. Stretch f ( x ) = | x + 3| vertically by a factor of 2.
7. Compress f ( x ) = | x + 3| horizontally by a factor of 2 3 .
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