1-5 Parent Functions And Transformations Worksheet With Answers Page 12

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58. 
2
f(x) = x
; Sample answer: The graph of g(x) is the
ANSWER:  
graph of f (x) translated 4 units to the left,
compressed vertically, reflected in the x-axis, and
1-5 Parent Functions and Transformations
Sample answer: g(x) =
[[x]]
translated 3 units down.
59. 
SHOPPING The management of a new shopping
mall originally predicted that attendance in thousands
would follow f (x) =
 for the first 60 days of 
operation, where x is the number of days after
opening and x = 1 corresponds with opening day.
Write g(x) in terms of f (x) for each situation below.
a. Attendance was consistently 12% higher than
expected.
61. 
b. The opening was delayed 30 days due to
construction.
ANSWER:  
c. Attendance was consistently 450 less than
3
expected.
f(x) = x
; Sample answer: The graph of g(x) is the
graph of f (x) translated 4 units to the right, expanded
ANSWER:  
vertically, reflected in the x-axis, and translated 2
a. g(x) = 1.12f (x)
units up.
b. There is no affect on f (x). While the opening is
delayed, the number of days after the opening, which
determines the domain of the function, is unaffected.
c. g(x) = f (x) − 0.45
Identify the parent function f (x) of g (x), and
describe the transformation of f (x) used to
graph g (x).
62. 
ANSWER:  
f(x) =
; Sample answer: The graph of g(x) is the
graph of f (x) expanded vertically and translated 6
units down.
60. 
ANSWER:  
2
f(x) = x
; Sample answer: The graph of g(x) is the
graph of f (x) translated 4 units to the left,
compressed vertically, reflected in the x-axis, and
translated 3 units down.
63. 
ANSWER:  
f(x) =
; Sample answer: The graph of g(x) is the
graph of f (x) translated 3 units to the right, reflected
in the x-axis, and translated 5 units up.
Use f (x) to graph g (x).
61. 
ANSWER:  
3
f(x) = x
; Sample answer: The graph of g(x) is the
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Page 12
graph of f (x) translated 4 units to the right, expanded
vertically, reflected in the x-axis, and translated 2

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