AnswersSS4 PGCPS ALGEBRA 2 OC SUMMER 2027 - 793033Transformations of Functions

Transformations of Functions — Test Answers

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The graph of is transformed as shown in the graph below. Which equation represents the transformed function?

Question illustration
A
y = negative StartRoot x EndRoot
Option A
B
y = StartRoot (negative x) EndRoot + 2
Option B
C
y = StartRoot (negative x) EndRoot minus 2
Option C
D
y = negative StartRoot x EndRoot minus 2
Option D
2
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A function is graphed on a coordinate grid. As the domain values approach infinity, the range values approach infinity. As the domain values approach negative infinity, the range values approach negative infinity. To which family of functions might the described function belong?

A
absolute value
B
exponential
C
cube root
D
square root
3

How is the graph of transformed to produce the graph of ?

Question illustration
A
The graph is stretched horizontally by a factor of 2 and then moved right 4 units.
B
The graph is compressed horizontally by a factor of 2 and then moved down 4 units.
C
The graph is compressed horizontally by a factor of 2, moved left 4 units, and moved down 4 units.
D
The graph is stretched horizontally by a factor of 2, moved left 4 units, and moved down 4 units.
4

The graph below is an example of which type of function?

Question illustration
A
quadratic
B
linear
C
cubic
D
square root
5

The function h(x) = –x5 + 12x is an odd function. Which transformation of h(x) results in an odd function?

A
h(5 – x)
B
1 + h(x)
C
h(x + 8)
D
–6h(x)
6

Which single transformation can be applied to the graph of y = 72 to produce the graph of y = 9 ?

Question illustration
A
vertical translation
B
vertical compression
C
horizontal translation
D
horizontal compression
7

Which is the graph of y =-3 ?

Question illustration
A
On a coordinate plane, a curve starts at (0, 0) and curves up through (negative 3, 3).
Option A
B
On a coordinate plane, a curve starts at (0, 0) and curves down through (1, negative 1) and (4, negative 2).
Option B
C
On a coordinate plane, a curve starts at (0, 0) and curves down through (1, negative 3).
Option C
D
On a coordinate plane, a curve starts at (0, 0) and curves up through (1, 3) and (2, 4.5).
Option D
8

Study the graphs of f(x) and g(x).

Question illustration
A
Vertical stretch followed by a translation 1 unit left, so g(x) = f.
Option A
B
Vertical stretch followed by a translation 1 unit right, so g(x) = f.
Option B
C
Horizontal stretch followed by a translation 1 unit left, so g(x) = f.
Option C
D
Horizontal stretch followed by a translation 1 unit right, so g(x) = f.
Option D

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