Logarithms And Logarithmic Functions Worksheet With Answers Page 11

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7-3 Logarithms and Logarithmic Functions
44. f (x) = −8 log
(x − 4)
45. 
3
SOLUTION:  
SOLUTION:  
The function represents a transformation of the
The function represents a transformation of the
graph of
.
graph of
.
 
a = –8: The graph is reflected across the x–axis.
 
h = 4: The graph is translated 4 units to the right.
h = –1: The graph is translated 1 unit to the left.
k = 0: There is no vertical shift.
k = –9: The graph is translated 9 units down.
 
 
ANSWER:  
ANSWER:  
45. 
46. f (x) = log
(x − 4) − 5
5
SOLUTION:  
SOLUTION:  
The function represents a transformation of the
The function represents a transformation of the
graph of
.
graph of
.
 
 
h = 4: The graph is translated 4 units to the right.
h = –1: The graph is translated 1 unit to the left.
k = –5: The graph is translated 5 units down.
k = –9: The graph is translated 9 units down.
 
 
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ANSWER:  

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