9.1 Review Worksheet (continued)
9.1.3 Transforming Functions
x x x if 2
x
1 1
< ≥
Given f x ( )
, write the rule for each function.
=
4 if
16. g ( x ), a vertical compression of f ( x ) by a factor of 1 4
17. h ( x ), a horizontal stretch by a factor of 2
18. p ( x ), a vertical translation 3 units down
Identify the x - and y -intercepts of f ( x ). Without graphing g ( x ), identify its x - and y - intercepts. 19. f x x g x = f x ( ) 9and ( ) ( ) = − + 20. f x x g x f x ( ) 25and ( ) 2 = − =
5 3
3 2
2 3
2 5
1 3
21. f x
22.
g x f x 2 ( ) =
2
x
f x x x ( )
− g x = f
x
( )
2 and ( )
3 4and ()
= − +
= − −
= −
1 2
23. f x
24. f x x ( )
g x f x () 3 1and () 2() 4 x = − = −
3 = +
g x f
x
8and ( )
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