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Name _____________________________
Date ___________________

Relations and Functions
(Answer ID # 0859856)
Identify the transformation from f(x) to g(x).

1.  
f(x)  =  
x2  -  4
g(x)  =  
(8x)2  -  4

2.  
f(x)  =  
  
(4x)
g(x)  =  
4

9
  
(4x)

3.  
f(x)  =  
(x  -  4)2
g(x)  =  
(
1

7
x  -  4)2

4.  
f(x)  =  
 | 
-2x
 |   -  4
g(x)  =  
2 | 
-2x
 |   -  4

5.  
f(x)  =  
 | 
x  -  3
 | 
g(x)  =  
 | 
6x  -  3
 | 

6.  
f(x)  =  
x2
g(x)  =  
(x  +  3)2  -  3

7.  
f(x)  =  
x2
g(x)  =  
-(x  -  9)2

8.  
f(x)  =  
4
  
(x  +  3)
g(x)  =  
-4
  
(
1

6
x  +  3)

9.  
f(x)  =  
4
  
(x)
g(x)  =  
-4
  
(
1

3
x)
  -  7

10.  
f(x)  =  
(x)2
g(x)  =  
3(x  +  7)2

11.  
f(x)  =  
3x2  -  2
g(x)  =  
-3(4x)2  -  2

12.  
f(x)  =  
3 | 
x
 | 
g(x)  =  
3

2
 | 
8x
 | 

13.  
f(x)  =  
x2
g(x)  =  
2(
-1

5
x)2  +  6

14.  
f(x)  =  
  
(x)
g(x)  =  
  
(
1

8
x)
  -  7


 


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