5.2.4 Transforming Linear Functions − Worksheet
Example 1:
Graph f ( x ) and g ( x ). Then describe the transformation from the graph of f ( x ) to the graph of g ( x ). 1. f ( x ) = x , g ( x ) = x − 4 2. f ( x ) = x , g ( x ) = x + 1
3. f ( x ) = x , g ( x ) = x + 2
4. f ( x ) = x , g ( x ) = x − 6.5
Example 2:
Graph f ( x ) and g ( x ). Then describe the transformation from the graph of f ( x ) to the graph of g ( x ).
1 4
1 5
5. f ( x ) = x , g ( x ) =
6. f ( x ) =
x
x + 3, g ( x ) = x + 3
1 2
7. f ( x ) = 2 x − 2, g ( x ) = 4 x − 2
8. f ( x ) = x + 1, g ( x ) =
x + 1
Example 3: Graph f ( x ). Then reflect the graph of f ( x ) across the y -axis. Write a function g ( x ) to describe the new graph.
1 5
9. f ( x ) = −
10. f ( x ) = 2 x + 4
x
1 3
11. f ( x ) =
12. f ( x ) = 5 x − 1
x − 6
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