Answers2026-2027_MDCPS_1200330_Algebra 2_FYTransformations of Functions

Transformations of Functions — Unit test Answers

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Which is the graph of reflected across the x-axis, translated 3 units left, 4 units up, and dilated by a factor of 4?

Question illustration
A
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Option A
B
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Option B
C
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Option C
D
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Option D
2
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The graph of is transformed as shown in the graph below. Which equation represents the transformed function?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
3

Consider the functions.f(x) = (x + 1)2 – 4g(x) = –4 |x + 1|

A
The ranges of both f(x) and g(x) are limited to y ≥ –1.
B
The ranges of both f(x) and g(x) are limited to y ≤ –1.
C
Since the range of f(x) is limited to y ≤ 0 and the range of g(x) is limited to y ≥ –4, the ranges overlap for the values –4 ≤ y ≤ 0.
D
Since the range of f(x) is limited to y ≥ –4 and the range of g(x) is limited to y ≤ 0, the ranges overlap for the values –4 ≤ y ≤ 0.
4

The equation of the piecewise function f(x) is below. What is the value of f(–2)?

Question illustration
A
f(–2) = –6
B
f(–2) = –4
C
f(–2) = 0
D
f(–2) = 3
5

A manager needs to order company shirts for each employee. She was quoted the following rates. If she orders 75 shirts and passes the cost along to the employees, what would each employee owe for the shirt if each pays the same amount? Round to the nearest cent. Price Quote for Company Work ShirtsNumber of shirts orderedCost per shirtFirst 19 shirts$10Next 30 shirts$8Each shirt over 49$5

A
$7.40
B
$7.47
C
$7.53
D
$7.66
6

Which type of function is represented by the table of values below?xy14216364425651,024

A
exponential
B
linear
C
quadratic
D
square root
7

Over which interval are the exponential and linear function approximately the same?

Question illustration
A
from 0.25 to 0.5
B
from 0.5 to 0.75
C
from 0.75 to 1.0
D
from 1.25 to 1.5
8

What is the range of the function graphed below?

Question illustration
A
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Option A
B
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Option B
C
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Option C
D
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Option D
9

Over which interval does the exponential show a more rapid rate of change?

Question illustration
A
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Option A
B
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Option B
C
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Option C
D
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Option D
10

Adita has two options for how to invest $1,000.Plan A: Put the $1,000 in an account that pays $100 per year.Plan B: Put the $1,000 in an account that pays 5 percent interest per year.Which statement is true?

A
Plan A will be worth more than plan B after two years.
B
Plan A will be worth the same amount as plan B after one year.
C
Plan B will be worth more than plan A after three years.
D
Plan B will be worth more than plan A after four years.
11

Which of the following accurately lists all discontinuities of the function below?

Question illustration
A
point discontinuity at x = –2
B
point discontinuity at x = 4; jump discontinuity at x = –2
C
point discontinuities at x = –4 and x = 4; jump discontinuity at x = –2
D
jump discontinuities at x = –4, x = –2, and x = 4
12

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

Question illustration
q
quadratic
l
linear
c
cubic
s
square root
13

Which of the following best describes how the y values are changing over each interval?xy122438416532

A
They are increasing by 2 each time.
B
They are increasing by 4 each time.
C
They are being multiplied by 2 each time.
D
They are being multiplied by 4 each time.
14

Which statement is true about ?

Question illustration
A
The graph of f(x) has a vertex of (–3, 2).
B
The graph of f(x) is a horizontal compression of the graph of the parent function.
C
The graph of f(x) opens downward.
D
The graph of f(x) has range of f(x) –2.
Option D
15

Which rule can be used to describe the growth of the y-values of the function over each interval from to ?

Question illustration
A
add 12
B
multiply by 12
C
add 1, then 12, then 144
D
multiply by 1, then by 12, then by 144

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Transformations of Functions — Unit test Answers…