AnswersIC Pre-Cal - DeeringGeneral Form of Sine and Cosine

General Form of Sine and Cosine Answers

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Use the drop-down menus to describe the graph. The amplitude of the graph is . The equation of the midline is . The period of the function is . The function is shifted left. The function is shifted units up.

Answers:
Selection 1:4
Selection 2:y = 2
Selection 3:3
Selection 4:0.5
Selection 5:2
2
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y = 1✔ y = 2y = 4

A
y = 1
B
y = 2
C
y = 4
3

12✔ 3

A
1
B
2
C
3
4

✔ 0.512

A
0.5
B
1
C
2
5

0.51✔ 2

A
0.5
B
1
C
2
6

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
7

Which equation matches the description?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

Use the drop-down menus to complete each statement. The function has the same amplitude as the function y = cos(x – 4) + 1. The function is a translation of the parent cosine function.

Answers:
Selection 1:y = cos(2x) – 2
Selection 2:y = cos(x) – 3
9

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
10

The first occurrence of the highest temperature in the cycle is day with a temperature of °C. The first occurrence of the lowest temperature in the cycle is day with a temperature of °C.

Answers:
Selection 1:9
Selection 2:28
Selection 3:4
Selection 4:22
11

Which equation models the data in the table?

A
y = 4 cosine (StartFraction pi Over 2 EndFraction x minus StartFraction pi Over 2 EndFraction) + 6
Option A
B
y = 4 cosine (StartFraction pi Over 2 EndFraction x + StartFraction pi Over 2 EndFraction) + 6
Option B
C
y = 2 cosine (StartFraction pi Over 2 EndFraction x minus StartFraction pi Over 2 EndFraction) + 6
Option C
D
y = 4 cosine (StartFraction pi Over 2 EndFraction x + StartFraction pi Over 2 EndFraction) + 6
Option D
12

Graph the model, and then use the graph to determine on which day each event occurred. The first day production exceeds 70 items is day . The last day in the first cycle that production exceeds 70 items is day .

Answers:
Selection 1:11
Selection 2:31
13

Find a sine function that models the person’s blood pressure as a function of time (in minutes).

A
f(x) = 30 sin(140πt) + 90
B
f(x) = 60 sin(70πt) + 30
C
f(x) = 60 sin(140πt) + 90
D
f(x) = 30 sin(70πt) -60
14

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)
15

1024✔ 28

Answer not available
16

25✔ 287590

A
25
B
28
C
75
D
90
17

29✔ 3133

A
29
B
✔ 31
C
33
18

24✔ 4896

A
23
B
48
C
96
19

0✔ 4822

A
0
B
4
C
8
D
22
20

48✔ 2225

A
4
B
8
C
22
D
25

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