AnswersS1S-OC Pre-Calculus A E3700 - AGGraphing Sine and Cosine Functions

General Form of Sine and Cosine Answers

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Find a, b, and c for the function such that the graph of f matches the figure.

A
a = 3, b = –2, c = π
B
a = 2, b = 3, c = –π
C
a = 3, b = 2, c = –π
D
a = 2, b = -3, c = π
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Use the drop-down menus to describe the graph.

Answers:
The amplitude of the graph is .:4
The equation of the midline is .:y = 2
The period of the function is .:3
The function is shifted left.:0.5
The function is shifted units up.:2
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y = 1✔ y = 2y = 4

A
y = 1
B
✔ y = 2
C
y = 4
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12✔ 3

A
1
B
2
C
✔ 3
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✔ 0.512

A
✔ 0.5
B
1
C
2
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0.51✔ 2

A
0.5
B
1
C
✔ 2
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Use the drop-down menus to complete each statement.

Answers:
The function has the same amplitude as the function y = cos(x – 4) + 1.:y = cos(2x) – 2
The function is a translation of the parent cosine function.:y = cos(x) – 3
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y = 2cos(x)✔ y = cos(x) – 3y = cos(2x)y = cos(-2x)

A
y = 2cos(x)
B
✔ y = cos(x) – 3
C
y = cos(2x)
D
y = cos(-2x)
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Use the drop-down menus to complete each statement.

Answers:
The amplitude of the function is .:48
The period of the function is .:28
The graph has a vertical shift of units.:48
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1024✔ 28

A
10
B
24
C
✔ 28
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24✔ 4896

A
24
B
✔ 48
C
96
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0✔ 92528

Answers:
The first occurrence of the highest temperature in the cycle is day with a temperature of °C.:9
The first occurrence of the highest temperature in the cycle is day with a temperature of °C.:28
The first occurrence of the lowest temperature in the cycle is day with a temperature of °C.:4
The first occurrence of the lowest temperature in the cycle is day with a temperature of °C.:22
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25✔ 287590

A
25
B
✔ 28
C
75
D
90
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0✔ 4822

A
0
B
✔ 4
C
8
D
22
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48✔ 2225

A
4
B
8
C
✔ 22
D
25
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Graph the model, and then use the graph to determine on which day each event occurred.

Answers:
The first day production exceeds 70 items is day .:11
The last day in the first cycle that production exceeds 70 items is day .:31
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29✔ 3133

A
29
B
✔ 31
C
33

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