1-5 Parent Functions And Transformations Worksheet With Answers Page 4

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22. 
ANSWER:  
The graph of d(x) is the graph of p (x) translated 2
ANSWER:  
3
2
The graph of g(x) is the graph of f (x) translated 4
units to the right; d(x) = 10(x – 2)
– 70(x – 2)
+
1-5 Parent Functions and Transformations
150(x – 2) – 2.
units to the left and 8 units down; g(x) = | x + 4 | − 8.
Describe how the graphs of f (x) = |x| and g(x)
are related. Then write an equation for g(x).
23. 
ANSWER:  
20. 
The graph of g(x) is the graph of f (x) translated 1
ANSWER:  
unit to the right and 2 units down; g(x) = | x − 1 | − 2.
The graph of g(x) is the graph of f (x) translated 8
Identify the parent function f (x) of g(x), and
units to the right; g(x) = | x – 8 |.
describe how the graphs of g(x) and f (x) are
related. Then graph f (x) and g(x) on the same
axes.
24. 
g(x) = 3| x | – 4
ANSWER:  
f(x) = | x |; the graph of g(x) is the graph of f (x)
expanded vertically and translated 4 units down.
 
21. 
ANSWER:  
The graph of g(x) is the graph of f (x) translated 5
units down; g(x) = | x | − 5.
25. 
g(x) = 3
22. 
ANSWER:  
f(x) =
; the graph of g(x) is the graph of f (x)
ANSWER:  
translated 8 units to the left and expanded vertically.
The graph of g(x) is the graph of f (x) translated 4
units to the left and 8 units down; g(x) = | x + 4 | − 8.
23. 
26. 
g(x) =
ANSWER:  
The graph of g(x) is the graph of f (x) translated 1
ANSWER:  
unit to the right and 2 units down; g(x) = | x − 1 | − 2.
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Page 4
f(x) =
; the graph of g(x) is the graph of f (x)
Identify the parent function f (x) of g (x), and
describe how the graphs of g(x) and f (x) are

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