AnswersEAP-Algebra Functions and Data Analysis A CRTransformations of Functions

Transformations of Functions Answers

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To which family does the function belong?

Question illustration
q
quadratic
s
square root
e
exponential
l
logarithmic
2
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The graph of the parent function is horizontally stretched by a factor of and reflected over the y-axis. What is the equation of the transformed function?

Question illustration
A
y = (one-fifth x) cubed
Option A
B
y = (negative one-fifth x) cubed
Option B
C
y = (5 x) cubed
Option C
D
y = (negative 5 x) cubed
Option D
3

The function models the cost per student of a field trip when x students go on the trip. How is the parent function transformed to create the function ?

Question illustration
A
It is vertically stretched by a factor of 200.
B
It is vertically stretched by a factor of 200 and shifted 10 units left.
C
It is vertically stretched by a factor of 200 and shifted 10 units up.
D
It is vertically stretched by a factor of 200 and shifted 10 units right.
4

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

Question illustration
A
On a coordinate plane, a curve starts at (negative 1, negative 1) and then curves up and to the right into quadrant 1.
Option A
B
On a coordinate plane, a parabola has a vertex at (0, 1).
Option B
C
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = negative 1. One curved decreases from quadrant 2 into quadrant 1 and approaches y = 1. It crosses the y-axis at (0, 2). The other curve approaches y = 1 in quadrant 1 and then curves down and approaches y = negative 1 in quadrant 3. It crosses the x-axis at (negative 2, 0).
Option C
D
On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0).
Option D
5

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

Question illustration
A
It is translated horizontally by 2 units and reflected over the x-axis.
B
It is translated horizontally by 2 units and reflected over the y-axis.
C
It is horizontally compressed by a factor of 2 and reflected over the x-axis.
D
It is horizontally compressed by a factor of 2 and reflected over the y-axis.
6

To which family does the function belong?

Question illustration
A
quadratic
B
square root
C
exponential
D
reciprocal
7

For which graph is the parent function ?

Question illustration
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
8

The graph below belongs to which function family?

Question illustration
A
linear
B
quadratic
C
cubic
D
absolute value
9

The value of a graphed function doubles for each increase of 1 in the value of x. Which of the following could be the parent function of the graphed function?

A
y = 2 Superscript x
Option A
B
y = x squared
Option B
C
y = StartAbsoluteValue x EndAbsoluteValue
Option C
D
y = StartRoot x EndRoot
Option D
10

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

Question illustration
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

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