1-5 Parent Functions And Transformations Worksheet With Answers Page 3
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18The graph of g(x) is the graph of f (x) reflected in
the y -axis and translated 5 units right when g(x) =
[[5 – x]], or reflected in the y -axis and translated 5
units up when g(x) = [[−x]] + 5.
1-5 Parent Functions and Transformations
Describe how the graphs of f (x) = §x¨ and g (x)
are related. Then write an equation for g(x).
18.
ANSWER:
15.
The graph of g(x) is the graph of f (x) reflected in
ANSWER:
the y -axis and translated 2 units to the left when g
(x) = [[−x – 2]], or reflected in the y -axis and
The graph of g(x) is the graph of f (x) translated 5
units to the right when g(x) = [[x – 5]], or translated
translated 2 units down when g(x) = [[−x]] − 2.
5 units down when g(x) = [[x]] − 5.
19.
PROFIT
An automobile company experienced an
unexpected two-month delay on manufacturing of a
new car. The projected profit of the car sales before
the delay p (x) is shown below. Describe how the
graph of p (x) and the graph of a projection including
the delay d(x) are related. Then write an equation for d
(x).
16.
ANSWER:
The graph of g(x) is the graph of f (x) translated 3
units to the left when g(x) = [[x + 3]], or translated
3 units up when g(x) = [[x]] + 3.
ANSWER:
The graph of d(x) is the graph of p (x) translated 2
3
2
units to the right; d(x) = 10(x – 2)
– 70(x – 2)
+
150(x – 2) – 2.
Describe how the graphs of f (x) = |x| and g (x)
17.
are related. Then write an equation for g(x).
ANSWER:
The graph of g(x) is the graph of f (x) reflected in
the y -axis and translated 5 units right when g(x) =
[[5 – x]], or reflected in the y -axis and translated 5
units up when g(x) = [[−x]] + 5.
20.
ANSWER:
The graph of g(x) is the graph of f (x) translated 8
units to the right; g(x) = | x – 8 |.
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18.
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