Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Compared to the graph of the base function  , the graph of the
function  is translated A | 9 units to the right | C | 9 units down | B | 9 units up | D | 9 units to the
left |
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2.
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Given the graph of f( x) shown below, what are the coordinates of
point A if the transformed graph is represented by  ? 
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3.
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When a function is reflected in the x-axis, the coordinates of point
(x, y) become
A | (x, –y) | C | (–x, –y) | B | (–x,
y) | D | (x,
y) |
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4.
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When b > 0, the function  has what relationship to the base
function  ? A | f(x) is stretched vertically by a factor of |b| and reflected in the
x-axis | B | f(x) is stretched vertically by a factor of |b| | C | f(x) is
stretched horizontally by a factor of 1/|b| and reflected in the y-axis | D | f(x) is
stretched horizontally by a factor of 1/|b| |
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5.
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When the value of a is less than –1, the function 
has what relationship to the base function  ? A | f(x) is compressed vertically | B | f(x) is
reflected and compressed vertically | C | f(x) is stretched
vertically | D | f(x) is reflected and stretched
vertically |
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Short Answer
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1.
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For each g( x), describe the transformation(s) from the base
function  . a)  b)  c) 
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Problem
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1.
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The approximate height, h, in metres, of an object above the ground after
it is dropped from a distance, d, in metres, can be modelled by the function  , where
t is the time, in seconds, after being dropped. a) Determine the function for an
object being dropped from each height. i) 400 m ii) 550 m iii) 850
m b) Graph all three functions on the same set of axes. c) Describe the
transformation that relates the highest curve to the lowest curve. d) Describe the
transformation that relates the highest curve to the curve in the middle.
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2.
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An object falls to the ground from a height of 25 m. The height, h, in
metres, of the object above the ground can be modelled by the function  , where a is the
acceleration due to gravity, in metres per second squared, and t is the time, in
seconds. a) Write an equation for the height of the object on Earth given a = 9.8
m/s 2. b) Write an equation for the height of the object on Mars given a =
3.7 m/s 2. c) Graph both functions on the same set of axes. d) What
scale factor can be applied to the Earth function to transform it to the Mars function?
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