2.2 Review Worksheet
2.2.1 Transforming Linear Functions Graph f ( x ) and g ( x ). Then describe the transformation(s) from the graph of f ( x ) to the graph of g ( x ). 1. f ( x ) = = + f x x g x x ( ) , ( ) 2. f ( x ) = x , g ( x ) = x − 4
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3. f ( x ) = − = − f x x g x x ( ) 1, ( )
4. f ( x ) = + = + f x x g x x ( ) 2, ( )
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Graph f ( x ). Then reflect the graph of f ( x ) across the y -axis. Write a function g ( x ) to describe the new graph. 5. f ( x ) = 6 x 6. f ( x ) = − 3 x − 2
Graph f ( x ) and g ( x ). Then describe the transformations from the graph of f ( x ) to the graph of g ( x ). 7. f ( x ) = 2 x , g ( x ) = 4 x − 1 8. f ( x ) = − 7 x + 5, g ( x ) = − 14 x
9. The number of chaperones on a field trip must include 1 teacher for every 4 students, plus 2 parents total. The function describing the number of chaperones for a trip of x students is f ( x ) = + f x x ( ) 2 . How will the graph change if the number of parents is reduced to 0? if the number of teachers is raised to 1 for every 3 students? 1 4
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