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

Transformations of Functions Answers

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The graph of the function is shown.Which graph represents the function ?

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Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
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For which graph is the parent function ?

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A
On a coordinate plane, a parabola opens up and has a vertex at (negative 1, negative 2).
Option A
B
On a coordinate plane, a straight line has a positive slope.
Option B
C
On a coordinate plane, a cubic root function is shown.
Option C
D
On a coordinate plane, an absolute value function is shown.
Option D
3

Which graph is an example of a function whose parent function is ?

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Option
Option A
B
Option
Option B
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Option
Option C
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Option
Option D
4

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

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A
It is horizontally stretched by a factor of .
Option A
B
It is vertically stretched by a factor of .
Option B
C
It is translated left by unit.
Option C
D
It is translated right by unit.
Option D
5

How is the graph of the parent quadratic function transformed to produce the graph of ?

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A
The graph is compressed horizontally by a factor of 2, shifted left 3 units, reflected over the x-axis, and translated up 3 units.
B
The graph is reflected over the x-axis, compressed horizontally by a factor of 2, shifted left 6 units, and translated up 3 units.
C
The graph is stretched horizontally by a factor of 2, reflected over the x-axis, shifted left 3 units, and translated up 3 units.
D
The graph is reflected over the x axis, stretched horizontally by a factor of 2, shifted left 6 units, and translated up 3 units.
6

The graph of is shown.Which is the graph of ?

Question illustration
A
On a coordinate plane, a cubic root function is shown. It approaches x = negative 3 in quadrant 3, has an inflection point at (negative 1, negative 2), and then approaches y = 2 in quadrant 1. It crosses the y-axis at (0, negative 2).
Option A
B
On a coordinate plane, a cubic root function is shown. It approaches x = negative 1 in quadrant 3, has an inflection point at (2, 1), and then increases and approaches y = 5.
Option B
C
On a coordinate plane, a cubic root function is shown. It approaches the y-axis in quadrant 4, increases, has a point of inflection at (2, 1), and then increases and approaches x = 4.
Option C
D
On a coordinate plane, a cubic root function is shown. It approaches the y-axis in quadrant 2, decreases, has a point of inflection at (negative 2, 1), and then decreases and approaches x = negative 4.
Option D
7

A 100-gallon fish tank fills at a rate of x gallons per minute. The tank has already been filling for 5 minutes. The function represents the remaining time in minutes needed to fill the tank. How is the graph of the parent function transformed to create the graph of the function ?

Question illustration
I
It is a vertical stretch with a factor of 100 and a translation 5 units right.
I
It is a vertical stretch with a factor of 95.
I
It is a vertical stretch with a factor of 100 and a translation 5 units down.
I
It is a vertical stretch with a factor of 500.
8

The graph below belongs to which function family?

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linear
B
quadratic
C
cubic
D
absolute value
10

Which equation represents the transformed function below?_____ = parent function; - - - - - = transformed function

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A
y = StartRoot x + 2 EndRoot
Option A
B
y = StartRoot x EndRoot + 2
Option B
C
y = StartRoot x EndRoot minus 2
Option C
D
y = StartRoot x minus 2 EndRoot
Option D

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