AnswersAZ-Common Core Algebra II BGraphing Sine and Cosine

Graphing Sine and Cosine Answers

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25

The amplitude of the graph is .

Answers:
Blank 1:2
Blank 2:4
26

Which function is graphed?

A
y = –2cos(x) – 4
B
y = 2cos(x) – 4
C
y = –2cos(x) + 4
D
y = 2cos(x) + 4
27

Which of the functions is graphed?

A
y = –0.5cos(x) – 1
B
y = –0.5sin(x) + 1
C
y = 0.5sin(x) – 1
D
y = 0.5cos(x) + 1
28

Explain how the graph of y = –2sin(x) – 1 differs from the parent function. Make sure to compare key points used for graphing.

Answer:

The graph of y = –2sin(x) – 1 is the graph of the parent function stretched vertically by a factor of 2, reflected over the x-axis, and shifted 1 unit down. The maximum of the parent function is 1, the minimum is –1, and the amplitude is 1. The maximum of y = –2sin(x) – 1 is 1, the minimum is –3, and the amplitude is 2.

29

Maximum:

Answer:

4

30

What is the range of y = 3sin(x)?

A
Option
B
Option
C
Option
32

Which did you include in your response?

A
The graph of y = –2sin(x) – 1 is the graph of the parent function stretched vertically by a factor of 2, reflected over the x-axis, and shifted 1 unit down.
B
The maximum of the parent function is 1, the minimum is –1, and the amplitude is 1.
C
The maximum of y = –2sin(x) – 1 is 1, the minimum is –3, and the amplitude is 2.
33

So, a is ✔ positivenegativezero.

A
✔ positive
B
negative
C
zero
34

Maximum:

Answer:

4

37

Amplitude:

Answer:

4

38

What is the range of y = –3sin(x)?

A
Option
B
Option
C
Option
39

Which function is graphed?

A
y = –2cos(x) – 4
B
y = 2cos(x) – 4
C
y = –2cos(x) + 4
D
y = 2cos(x) + 4
40

The maximum value is and the

Answers:
Blank 1:5
Blank 2:-5
Blank 3:5
Blank 4:0

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