1-5 Parent Functions And Transformations Worksheet With Answers Page 11
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18ANSWER:
g(x) =
+ 4
1-5 Parent Functions and Transformations
PHYSICS The distance an object travels as a
2
function of time is given by f (t) =
at
+ v
t +
0
x
, where a is the acceleration, v
is the initial
0
0
velocity, and x
is the initial position of the
0
object. Describe the transformation(s) of the
2
parent function f (t) = t
used to graph f (t) for
56.
each of the following.
51.
a = 2, v
= 2, x
= 0
ANSWER:
0
0
3
g(x) = −0.5(x – 5)
– 8
ANSWER:
translated one unit to the left; translated one unit
down
52.
a = 2, v
= 0, x
= 10
0
0
ANSWER:
translated 10 units up
57.
53.
a = 4, v
= 8, x
= 1
ANSWER:
0
0
ANSWER:
g(x) = 4
– 6
translated 2 units to the left; expanded vertically;
translated 7 units down
54.
a = 3, v
= 5, x
= 3
0
0
ANSWER:
translated
units left; expanded vertically;
58.
translated
units down
ANSWER:
Sample answer: g(x) =
[[x]]
Write an equation for each g(x).
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.
55.
a. Attendance was consistently 12% higher than
expected.
ANSWER:
b. The opening was delayed 30 days due to
construction.
g(x) =
+ 4
c. Attendance was consistently 450 less than
expected.
ANSWER:
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Page 11
a. g(x) = 1.12f (x)
b. There is no affect on f (x). While the opening is
delayed, the number of days after the opening, which
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