Algebra 2 Companion Book, Volume 1

2.2 Review Worksheet (continued)

2.2.4 Absolute-Value Functions Let g ( x ) be the indicated transformation of f ( x ) = | x | . Write the rule for g ( x ) and graph the function. 27. 2 units right 28. 1 unit down 29. 4 units left

Translate f ( x ) = | x | so that the vertex is at the given point. Then graph. 30. (8, 0.5) 31. (1.5, 4.5)

32. ( − 2.5, 3)

Perform each transformation. Then graph. 33. Reflect f ( x ) = | x − 5| + 2 across the x -axis.

34. Compress f ( x ) = |2 x | − 3 vertically by a factor of 1 4 . .

35. Stretch f ( x ) = |2 x | − 3 horizontally by a factor of 3 2 . .

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