Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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The two functions in the graph shown are reflections of each other. Select the
type of reflection(s).  A | a reflection in the line y = x | C | a reflection in the
y-axis | B | a reflection in the x-axis and the y-axis | D | a reflection in the
x-axis |
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2.
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Which is the graph of the function  ?
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3.
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In the graph shown, which transformations must be applied to the blue curve to
obtain the red curve?  A | a reflection in the x-axis and a translation of 5 units
down | B | a reflection in the y-axis and a translation of 5 units up | C | a reflection in the
x-axis and a translation of 5 units up | D | a reflection in the y-axis and a
translation of 5 units down |
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4.
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When the function  is transformed to  , the graph looks
like
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5.
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Which graph represents the inverse of the graph shown? 
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6.
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Compared to the graph of the base function  , the graph of the
function  is translated A | 9 units to the left | C | 9 units down | B | 9 units to the right | D | 9 units up |
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7.
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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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8.
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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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9.
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What is the equation of the transformed function, g( x), after the
transformations are applied to the graph of the base function  , shown in blue, to
obtain the graph of g( x), shown in red? 
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10.
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Which of the graphs shown below represents the base function  and the
stretched function g( x) = (  x) 2?
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Short Answer
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1.
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For each function f( x), i) determine  ii)
graph f( x) and its inverse a)  b) 
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2.
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a) Determine the inverse of the function  . b) Determine
the domain and range of the function and its inverse. c) Is the inverse a function?
Explain.
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Problem
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1.
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Consider the function  . a) Determine the equation of
each function. i)  ii) f(– x) iii)  b) Graph all four functions from part a) on the same set of axes. c)
From the graph, determine the pairs of equations that can be represented as translations of each
other. d) Describe the translation that can be applied to each pair of functions you
determined in part c) to generate the same graph.
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2.
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The value, V, in thousands of dollars, of a certain car after t
years can be modelled by the equation  . a) Sketch the graph of this relation using
transformations of the function  . b) What is the initial value of this
car? c) What is the projected value of this car after 2 years?
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3.
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Jai works at an electronics store. She earns $600 a week, plus commission of 5%
of her sales.
a) Write a function to describe Jai’s total weekly earnings as a
function of her sales.
b) Determine the inverse of this function.
c) One week Jai
earned $775. What were her sales that week?
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