AnswersAZ-Common Core Algebra II BGraphing Sine and Cosine

Changes in Period and Phase Shift of Sine and Cosine Functions Answers

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Selection 2:1/3
5

Which type of transformation of the parent function is shown by the graph?

A
vertical stretch
B
vertical compression
C
vertical shift
D
horizontal stretch
E
horizontal compression
F
horizontal shift
8

Which of the following have a frequency factor of b = 1?

A
Option
B
Option
C
Option
D
Option
E
Option
F
Option
G
Option
9

From the parent function y = sin(x), the function shown in the graph is shifted

A
units to the right.
B
units to the right.
C
units to the right.
D
units to the right.
10

Consider the function y = cosine (x + StartFraction pi Over 6 EndFraction) Which of the following is true?

Question illustration
A
There is a phase shift to the left.
B
There is a phase shift to the right.
C
The graph is reflected across the x-axis
D
The graph is stretched horizontally.
E
The graph is compressed horizontally.
14

Which of the following have a frequency factor of b = 1?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
E
Option
Option E
F
Option
Option F
G
Option
Option G
15

From the parent function y = sin(x), the function shown in the graph is shifted

A
units to the right.
Option A
B
units to the right.
Option B
C
units to the right.
Option C
D
units to the right.
Option D
16

Consider the function Which of the following is true?

Question illustration
A
There is a phase shift to the left.
B
There is a phase shift to the right.
C
The graph is reflected across the x-axis
D
The graph is stretched horizontally.
E
The graph is compressed horizontally.
17

When would two sine functions of the form y = sin(x – h) that have different values for h have the same graph? Explain.

Answer:

The period of the function is ,so every ,the cycle will be again. If the h-values differ by multiples of ,the function will have the same graph.

19

Which type of transformation of the parent function would be shown by the graph?

A
vertical stretch
B
vertical compression
C
vertical shift
D
horizontal stretch
E
horizontal compression
F
horizontal shift
20

Which could be the equation for the function shown in the graph?

A
Option
B
Option
C
Option

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