1-5 Parent Functions And Transformations Worksheet With Answers Page 8
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18d. The shots will cross paths at a horizontal distance
1-5 Parent Functions and Transformations
d. Yes; the plans will equal each other at 10 minutes.
of 235 feet and a vertical distance of 19.27 feet.
40.
Use the graph of f (x) to graph g(x) = | f (x)| and h
GOLF The path of a drive can be modeled by the
(x) = f (|x|).
function shown, where g(x) is the vertical distance in
feet of the ball from the ground and x is the
41.
f (x) =
horizontal distance in feet such that x = 0
corresponds to the initial point.
ANSWER:
a. Describe the transformation(s) of the parent
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function f (x) = x
used to graph g(x).
b. If a second golfer hits a similar shot 30 feet
farther down the fairway from the first player, what
function h(x) can be used to describe the second
42.
f (x) =
golfer’s shot?
c. Graph both golfers’ shots on the same graphing
ANSWER:
calculator screen.
d. If both golfers hit their shots at the same time, at
what horizontal and vertical distances will the shots
cross paths?
ANSWER:
a. The graph of g(x) is the graph of f (x) translated
220 units to the right, compressed vertically,
reflected in the x-axis, and translated 19.36 units up.
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b. h(x) = −0.0004(x − 250)
+ 19.36
c.
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2
43.
– x
– 4x
f (x) = x
ANSWER:
d. The shots will cross paths at a horizontal distance
of 235 feet and a vertical distance of 19.27 feet.
Use the graph of f (x) to graph g (x) = | f (x)| and h
(x) = f (|x|).
41.
f (x) =
ANSWER:
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