Algebra 1 Companion Book, Vol 1 – Summer Edition

5.2.4 Transforming Linear Functions − Practice

1.  Describe the transformation from the graph of f ( x ) = x + 2 to the graph of g ( x ) = x − 7.

2.  Describe the transformation from the graph of f ( x ) = x to the graph of g ( x ) = (3/4) x .

4.  Let g ( x ) be the reflection across the x -axis of the function f ( x ) = 7 x + 3. Write the rule for g ( x ).

3.  Describe the transformation from the graph of f ( x ) to the graph of g ( x ). f ( x ) = 2 x , g ( x ) = − 2 x

6.  Graph f ( x ) = x and g ( x ) = 1 2 x − 5. Then describe the transformation from the graph of f ( x ) = x to the graph of g ( x ) = x − 5.

5.  Let g ( x ) be the reflection across the y -axis of the function f ( x ) = 5 x + 8. Write the rule for g ( x ).

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