Algebra 2 Companion Book, Volume 1

2.2.1 Transforming Linear Functions − Worksheet (continued)

Example 4: Graph f ( x ) and g ( x ). Then describe the transformations from the graph of f ( x ) to the graph of g ( x ). 13. f(x ) = x , g ( x ) = 2 x − 2 14. f ( x ) = = + f x x g x x ( ) , ( ) 1

1 3

=− − f x x g x x ( ) , ( ) 1 2 3

15. f ( x ) = − x − l, g ( x ) = − 4 x

16. f ( x ) =−

Example 5: 17.  For large parties, a restaurant charges a reservation fee of $25, plus $15 per person. The total charge for a party of x people is f ( x ) = 15 x + 25. How will the graph of this function change if the reservation fee is raised to $50? if the per-person charge is lowered to $12?

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