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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University
Functions
Transformations of Graphs
Warm-Ups
1
The graph of f (x) = (-x)
2
is a reflection in the x-axis of the graph of g(x) = x
2
.
A)
TRUE
B)
FALSE
2
The graph of f (x) = -2 is a reflection in the x-axis of the graph of f (x) = 2.
A)
TRUE
B)
FALSE
3
The graph of f (x) = x + 3 lies three units to the left of the graph of f (x) = x.
A)
TRUE
B)
FALSE
4
The graph of y = | x - 3 | lies three units to the left of the graph of y = | x |.
A)
TRUE
B)
FALSE
5
The graph of y = | x | - 3 lies three units below the graph of y = | x |.
A)
TRUE
B)
FALSE
6
The graph of y = -2x
2
can be obtained by stretching and reflecting the graph of y = x
2
.
A)
TRUE
B)
FALSE
7
The graph of f (x) = (x - 2)
2
is symmetric about the y-axis.
A)
TRUE
B)
FALSE
8
For each point on the graph of y = x
1/2
/9 there is a corresponding point on y = x
1/2
that has a y-coordinate three times as large.
A)
TRUE
B)
FALSE
9
The graph of y = (x - 3)
1/2
+ 5 has the same shape as the graph of y = x
1/2
.
A)
TRUE
B)
FALSE
10
The graph of y = -(x + 2)
2
- 7 can be obtained by moving y = x
2
two units to the left and down seven units and then reflecting in the x-axis.
A)
TRUE
B)
FALSE
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