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Deck 7: Transformations of Functions
Full screen (f)
Question
Use the given graph of f to select the graph for following function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Identify the parent function and the transformation shown in the graph.Write an equation for the function shown in the graph. 
A)Reflection in the x-axis and vertical shift of
B)Vertical shift of x-axis and vertical shift of
C)Reflection in the x-axis and vertical shift of
D)Horizontal shift of x-axis and vertical shift of
E)Horizontal shift of x-axis and vertical shift of
A)Reflection in the x-axis and vertical shift of
B)Vertical shift of x-axis and vertical shift of
C)Reflection in the x-axis and vertical shift of
D)Horizontal shift of x-axis and vertical shift of
E)Horizontal shift of x-axis and vertical shift of
Question
Use the graph of 
to write an equation for the function whose graph is shown. 
A)
B)
C)
D)
E)
to write an equation for the function whose graph is shown. A)
B)
C)
D)
E)
Question
For following function,select (on the same set of coordinate axes)a graph for 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Question
For following function,select (on the same set of coordinate axes)a graph for 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Question
For following function,select (on the same set of coordinate axes)a graph for 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Question
Use the graph of 
to write an equation for the function whose graph is shown. 
A)
B)
C)
D)
E)None of the above
to write an equation for the function whose graph is shown. A)
B)
C)
D)
E)None of the above
Question
Use the graph of 
to write an equation for the function whose graph is shown. 
A)
B)
C)
D)
E)
to write an equation for the function whose graph is shown. A)
B)
C)
D)
E)
Question
For following function,select (on the same set of coordinate axes)a graph of function for 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the graph of 
to write an equation for the function whose graph is shown. 
A)
B)
C)
D)
E)
to write an equation for the function whose graph is shown. A)
B)
C)
D)
E)
Question
Identify the parent function and the transformation shown in the graph.Write an equation for the function shown in the graph. 
A)Horizontal shift of
B)Vertical shift of
C)Vertical shift of
D)Horizontal shift of
E)Vertical shift of
A)Horizontal shift of
B)Vertical shift of
C)Vertical shift of
D)Horizontal shift of
E)Vertical shift of
Question
Use the given graph of f to select the graph for the following function.
Y = f(2x)
A)
B)
C)
D)
E)
Y = f(2x)
A)
B)
C)
D)
E)
Question
Use the graph of 
to write an equation for the function whose graph is shown. 
A)
B)
C)
D)
E)
to write an equation for the function whose graph is shown. A)
B)
C)
D)
E)
Question
Identify the parent function and the transformation shown in the graph.Write an equation for the function shown in the graph. 
A)Reflection in the x-axis of
B)Horizontal shift of x-axis of
C)Reflection in the y-axis of
D)Horizontal shift of x-axis of
E)Reflection in the y-axis of
A)Reflection in the x-axis of
B)Horizontal shift of x-axis of
C)Reflection in the y-axis of
D)Horizontal shift of x-axis of
E)Reflection in the y-axis of
Question
Use the graph of 
to write an equation for the function whose graph is shown. 
A)
B)
C)
D)
E)
to write an equation for the function whose graph is shown. A)
B)
C)
D)
E)
Question
Use the graph of 
to write an equation for the function whose graph is shown. 
A)
B)
C)
D)
E)
to write an equation for the function whose graph is shown. A)
B)
C)
D)
E)
Question
Identify the parent function and the transformation shown in the graph.Write an equation for the function shown in the graph. 
A)Horizontal shift of the x-axis of
B)Vertical shift of the y-axis of
C)Reflection in the x-axis of
D)Horizontal shift of the y-axis of
E)Vertical shift of the x-axis of
A)Horizontal shift of the x-axis of
B)Vertical shift of the y-axis of
C)Reflection in the x-axis of
D)Horizontal shift of the y-axis of
E)Vertical shift of the x-axis of
Question
Use the given graph of f to select the graph for the following function. 
A)
B)
C)
D) 
E)
A)
B)
C)
D)
E)
Question
Use the graph of 
to write an equation for the function whose graph is shown. 
A)
B)
C)
D)
E)
to write an equation for the function whose graph is shown. A)
B)
C)
D)
E)
Question
Use the given graph of f to select the graph for following function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Identify the parent function and the transformation shown in the graph.Write an equation for the function shown in the graph. 
A)Reflection in the y-axis and vertical shrink of
.
B)Reflection in the y-axis and vertical shrink of
.
C)Reflection in the y-axis and vertical shrink of
.
D)Reflection in the y-axis and vertical shrink of
.
E)Reflection in the y-axis and vertical shrink of
.
A)Reflection in the y-axis and vertical shrink of
.B)Reflection in the y-axis and vertical shrink of
.C)Reflection in the y-axis and vertical shrink of
.D)Reflection in the y-axis and vertical shrink of
.E)Reflection in the y-axis and vertical shrink of
. Question
Write an equation for the function that is described by the given characteristic.
The shape of
,but shifted 17 units to the right.
A)
B)
C)
D)
E)
The shape of
,but shifted 17 units to the right.
A)
B)
C)
D)
E)
Question
Determine whether the statement is true or false.Justify your answer.
The graphs of
and 
are identical.
A)False.
B)True.
The graphs of
and are identical.
A)False.
B)True.
Question
Write an equation for the function that is described by the following characteristics. The shape of 
,but moved five units down,four units to the left,and then reflected in the x-axis.
A)
B)
C)
D)
E)
,but moved five units down,four units to the left,and then reflected in the x-axis.A)
B)
C)
D)
E)
Question
Use the graph of 
to write an equation for the function whose graph is shown. 
A)
B)
C)
D)
E)
to write an equation for the function whose graph is shown. A)
B)
C)
D)
E)
Question
Write an equation for the function that is described by the given characteristic.
The shape of
,but shifted three units to the left and reflected in both the x-axis and the y-axis.
A)
B)
C)
D)
E)
The shape of
,but shifted three units to the left and reflected in both the x-axis and the y-axis.
A)
B)
C)
D)
E)
Question
Use the graph of 
to write an equation for the function whose graph is shown. 
A)
B)
C)
D)
E)
to write an equation for the function whose graph is shown. A)
B)
C)
D)
E)
Question
Use the graph of 
to write an equation for the function whose graph is shown. 
A)
B)
C)
D)
E)
to write an equation for the function whose graph is shown. A)
B)
C)
D)
E)
Question
Use the viewing window shown to select a possible equation for the transformation of the parent function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Question
Identify the parent function and the transformation shown in the graph.Write an equation for the function shown in the graph. 
A)Vertical stretch of
B)Horizontal stretch of
C)Vertical stretch of
D)Vertical stretch of
E)Horizontal stretch of
A)Vertical stretch of
B)Horizontal stretch of
C)Vertical stretch of
D)Vertical stretch of
E)Horizontal stretch of
Question
Write an equation for the function that is described by the given characteristic.
The shape of
,but shifted three units to the right and five units downward.
A)
B)
C)
D)
E)
The shape of
,but shifted three units to the right and five units downward.
A)
B)
C)
D)
E)
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Full screen (f)
Deck 7: Transformations of Functions
1
Use the given graph of f to select the graph for following function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
2
Identify the parent function and the transformation shown in the graph.Write an equation for the function shown in the graph.
A)Reflection in the x-axis and vertical shift of
B)Vertical shift of x-axis and vertical shift of
C)Reflection in the x-axis and vertical shift of
D)Horizontal shift of x-axis and vertical shift of
E)Horizontal shift of x-axis and vertical shift of
A)Reflection in the x-axis and vertical shift of
B)Vertical shift of x-axis and vertical shift of
C)Reflection in the x-axis and vertical shift of
D)Horizontal shift of x-axis and vertical shift of
E)Horizontal shift of x-axis and vertical shift of
Reflection in the x-axis and vertical shift of
3
Use the graph of to write an equation for the function whose graph is shown.
A)
B)
C)
D)
E)
to write an equation for the function whose graph is shown. A)
B)
C)
D)
E)
4
For following function,select (on the same set of coordinate axes)a graph for .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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Unlock for access to all 32 flashcards in this deck.
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5
For following function,select (on the same set of coordinate axes)a graph for .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 32 flashcards in this deck.
Unlock Deck
k this deck
6
For following function,select (on the same set of coordinate axes)a graph for .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 32 flashcards in this deck.
Unlock Deck
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7
Use the graph of to write an equation for the function whose graph is shown.
A)
B)
C)
D)
E)None of the above
to write an equation for the function whose graph is shown. A)
B)
C)
D)
E)None of the above
Unlock Deck
Unlock for access to all 32 flashcards in this deck.
Unlock Deck
k this deck
8
Use the graph of to write an equation for the function whose graph is shown.
A)
B)
C)
D)
E)
to write an equation for the function whose graph is shown. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 32 flashcards in this deck.
Unlock Deck
k this deck
9
For following function,select (on the same set of coordinate axes)a graph of function for
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 32 flashcards in this deck.
Unlock Deck
k this deck
10
Use the graph of to write an equation for the function whose graph is shown.
A)
B)
C)
D)
E)
to write an equation for the function whose graph is shown. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 32 flashcards in this deck.
Unlock Deck
k this deck
11
Identify the parent function and the transformation shown in the graph.Write an equation for the function shown in the graph.
A)Horizontal shift of
B)Vertical shift of
C)Vertical shift of
D)Horizontal shift of
E)Vertical shift of
A)Horizontal shift of
B)Vertical shift of
C)Vertical shift of
D)Horizontal shift of
E)Vertical shift of
Unlock Deck
Unlock for access to all 32 flashcards in this deck.
Unlock Deck
k this deck
12
Use the given graph of f to select the graph for the following function.
Y = f(2x)
A)
B)
C)
D)
E)
Y = f(2x)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 32 flashcards in this deck.
Unlock Deck
k this deck
13
Use the graph of to write an equation for the function whose graph is shown.
A)
B)
C)
D)
E)
to write an equation for the function whose graph is shown. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 32 flashcards in this deck.
Unlock Deck
k this deck
14
Identify the parent function and the transformation shown in the graph.Write an equation for the function shown in the graph.
A)Reflection in the x-axis of
B)Horizontal shift of x-axis of
C)Reflection in the y-axis of
D)Horizontal shift of x-axis of
E)Reflection in the y-axis of
A)Reflection in the x-axis of
B)Horizontal shift of x-axis of
C)Reflection in the y-axis of
D)Horizontal shift of x-axis of
E)Reflection in the y-axis of
Unlock Deck
Unlock for access to all 32 flashcards in this deck.
Unlock Deck
k this deck
15
Use the graph of to write an equation for the function whose graph is shown.
A)
B)
C)
D)
E)
to write an equation for the function whose graph is shown. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 32 flashcards in this deck.
Unlock Deck
k this deck
16
Use the graph of to write an equation for the function whose graph is shown.
A)
B)
C)
D)
E)
to write an equation for the function whose graph is shown. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 32 flashcards in this deck.
Unlock Deck
k this deck
17
Identify the parent function and the transformation shown in the graph.Write an equation for the function shown in the graph.
A)Horizontal shift of the x-axis of
B)Vertical shift of the y-axis of
C)Reflection in the x-axis of
D)Horizontal shift of the y-axis of
E)Vertical shift of the x-axis of
A)Horizontal shift of the x-axis of
B)Vertical shift of the y-axis of
C)Reflection in the x-axis of
D)Horizontal shift of the y-axis of
E)Vertical shift of the x-axis of
Unlock Deck
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Unlock Deck
k this deck
18
Use the given graph of f to select the graph for the following function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 32 flashcards in this deck.
Unlock Deck
k this deck
19
Use the graph of to write an equation for the function whose graph is shown.
A)
B)
C)
D)
E)
to write an equation for the function whose graph is shown. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 32 flashcards in this deck.
Unlock Deck
k this deck
20
Use the given graph of f to select the graph for following function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 32 flashcards in this deck.
Unlock Deck
k this deck
21
Identify the parent function and the transformation shown in the graph.Write an equation for the function shown in the graph.
A)Reflection in the y-axis and vertical shrink of .
B)Reflection in the y-axis and vertical shrink of .
C)Reflection in the y-axis and vertical shrink of .
D)Reflection in the y-axis and vertical shrink of .
E)Reflection in the y-axis and vertical shrink of .
A)Reflection in the y-axis and vertical shrink of
.B)Reflection in the y-axis and vertical shrink of
.C)Reflection in the y-axis and vertical shrink of
.D)Reflection in the y-axis and vertical shrink of
.E)Reflection in the y-axis and vertical shrink of
. Unlock Deck
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Unlock Deck
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22
Write an equation for the function that is described by the given characteristic.
The shape of ,but shifted 17 units to the right.
A)
B)
C)
D)
E)
The shape of
,but shifted 17 units to the right.
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 32 flashcards in this deck.
Unlock Deck
k this deck
23
Determine whether the statement is true or false.Justify your answer.
The graphs of and are identical.
A)False.
B)True.
The graphs of
and are identical.
A)False.
B)True.
Unlock Deck
Unlock for access to all 32 flashcards in this deck.
Unlock Deck
k this deck
24
Write an equation for the function that is described by the following characteristics. The shape of ,but moved five units down,four units to the left,and then reflected in the x-axis.
A)
B)
C)
D)
E)
,but moved five units down,four units to the left,and then reflected in the x-axis.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 32 flashcards in this deck.
Unlock Deck
k this deck
25
Use the graph of to write an equation for the function whose graph is shown.
A)
B)
C)
D)
E)
to write an equation for the function whose graph is shown. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 32 flashcards in this deck.
Unlock Deck
k this deck
26
Write an equation for the function that is described by the given characteristic.
The shape of ,but shifted three units to the left and reflected in both the x-axis and the y-axis.
A)
B)
C)
D)
E)
The shape of
,but shifted three units to the left and reflected in both the x-axis and the y-axis.
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 32 flashcards in this deck.
Unlock Deck
k this deck
27
Use the graph of to write an equation for the function whose graph is shown.
A)
B)
C)
D)
E)
to write an equation for the function whose graph is shown. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 32 flashcards in this deck.
Unlock Deck
k this deck
28
Use the graph of to write an equation for the function whose graph is shown.
A)
B)
C)
D)
E)
to write an equation for the function whose graph is shown. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 32 flashcards in this deck.
Unlock Deck
k this deck
29
Use the viewing window shown to select a possible equation for the transformation of the parent function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 32 flashcards in this deck.
Unlock Deck
k this deck
30
Write an equation for the function that is described by the following characteristics. The shape of f(x)= [[x]],but reflected in the y-axis,moved eight units down.
A)g(x)= [[-x]] + 8
B)g(x)= -[[x - 8]]
C)g(x)= -[[x + 8]]
D)g(x)= [[-x]] - 8
E)g(x)= -[[x]] + 8
A)g(x)= [[-x]] + 8
B)g(x)= -[[x - 8]]
C)g(x)= -[[x + 8]]
D)g(x)= [[-x]] - 8
E)g(x)= -[[x]] + 8
Unlock Deck
Unlock for access to all 32 flashcards in this deck.
Unlock Deck
k this deck
31
Identify the parent function and the transformation shown in the graph.Write an equation for the function shown in the graph.
A)Vertical stretch of
B)Horizontal stretch of
C)Vertical stretch of
D)Vertical stretch of
E)Horizontal stretch of
A)Vertical stretch of
B)Horizontal stretch of
C)Vertical stretch of
D)Vertical stretch of
E)Horizontal stretch of
Unlock Deck
Unlock for access to all 32 flashcards in this deck.
Unlock Deck
k this deck
32
Write an equation for the function that is described by the given characteristic.
The shape of ,but shifted three units to the right and five units downward.
A)
B)
C)
D)
E)
The shape of
,but shifted three units to the right and five units downward.
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 32 flashcards in this deck.
Unlock Deck
k this deck
Unlock Deck
Unlock for access to all 32 flashcards in this deck.
