2.2.1 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 ). 5. f ( x ) 6. f ( x ) x g x x 3, ( ) 3 = + = + x g x x , ( ) = =
1 5
1 4
1 2
7. f ( x ) = 2 x − 2, g ( x ) = 4 x − 2
8. f ( x ) x g x 1, ( ) = +
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. 9. f ( x ) 10. f ( x ) = 2 x + 4
=− f x x ( ) 1 5
= − f x x ( ) 1 3
11. f ( x )
12. f ( x ) = 5 x − 1
6
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