Algebra 2 Companion Book, Volume 2

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 ( )

257

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