AnswersAlgebra 2 MP 234 CHSChanges in Period and Phase Shift of Sine and Cosine Functions

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

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In the triangle below, angle B measures 60° and BC is 18. What is the length of AC?

Question illustration
A
9 StartRoot 3 EndRoot
Option A
B
StartFraction 9 Over StartRoot 3 EndRoot EndFraction
Option B
C
9
D
StartFraction StartRoot 3 EndRoot Over 9 EndFraction
Option D
3

What is the value of x in the diagram below?

Question illustration
A
StartFraction 18 Over StartRoot 3 EndRoot EndFraction
Option A
B
StartFraction 18 StartRoot 2 EndRoot Over StartRoot 3 EndRoot EndFraction
Option B
C
StartFraction 18 StartRoot 3 EndRoot Over StartRoot 2 EndRoot EndFraction
Option C
D
18 StartRoot 2 EndRoot
Option D
5

Which statement accurately describes how adding a number, n, to the function affects its graph?

Question illustration
A
There is a vertical shift of n units.
B
The x-intercepts will shift n units.
C
There is a change in amplitude of n units.
D
The range will change by a factor of 2n units.
6

Which of the following is true for f(x) = –2sin(x) – 3?

A
The range of the function is the set of real numbers .
Option A
B
The graph of the function is the graph of f(x) = –2sin(x) shifted 3 units up.
C
The amplitude of the function is 2.
D
The period of the function is .
Option D

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