John is floating on a tube in a wave tank. At t 1 second, John goes over a wave at a maximum height of 14 meters above the bottom of the pool. At t-9 seconds, John reaches a minimum height of 2 meters above the bottom of the pool. 1) Assuming that John's height in the wave tank follows a sinusoidal pattern, sketch a graph of John's height on the coordinate grid below. 15 14 13 12- 11 10 9 8 7 6 5 4 3 2 1 6 8 2) What is the amplitude of the function? -1 10 10 12 12 = 33 13 14 15 16 16 17 7 18 18 19 19 20 20 3) What is the midline/vertical shift of the function? 4) What is its period? 5) What is the phase shift for a cosine function? What is the phase shift for a sine function? What is the cosine equation for this function? What is the sine equation for this function?
John is floating on a tube in a wave tank. At t 1 second, John goes over a wave at a maximum height of 14 meters above the bottom of the pool. At t-9 seconds, John reaches a minimum height of 2 meters above the bottom of the pool. 1) Assuming that John's height in the wave tank follows a sinusoidal pattern, sketch a graph of John's height on the coordinate grid below. 15 14 13 12- 11 10 9 8 7 6 5 4 3 2 1 6 8 2) What is the amplitude of the function? -1 10 10 12 12 = 33 13 14 15 16 16 17 7 18 18 19 19 20 20 3) What is the midline/vertical shift of the function? 4) What is its period? 5) What is the phase shift for a cosine function? What is the phase shift for a sine function? What is the cosine equation for this function? What is the sine equation for this function?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 60E
Related questions
Question
Practice
![John is floating on a tube in a wave tank. Att 1 second, John goes over a wave at a
maximum height of 14 meters above the bottom of the pool. Att 9 seconds, John reaches
a minimum height of 2 meters above the bottom of the pool.
1) Assuming that John's height in the wave tank follows a sinusoidal pattern, sketch a graph
of John's height on the coordinate grid below.
15
14
13
12-
11-
-10
09
8
7
6
-5
4-
3
2
1
2
6 7
2) What is the amplitude of the function?
00
8
10
12
22
33
15
15 16
7
17 18 19 20 21
3) What is the midline/vertical shift of the function?
4) What is its period?
5) What is the phase shift for a cosine function?
6) What is the phase shift for a sine function?
7) What is the cosine equation for this function? What is the sine equation for this function?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F527f4765-4680-43fd-bf45-568a83d4d699%2F0eb58af2-e577-4b21-bbde-2a2cd5486219%2Fqnm79q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:John is floating on a tube in a wave tank. Att 1 second, John goes over a wave at a
maximum height of 14 meters above the bottom of the pool. Att 9 seconds, John reaches
a minimum height of 2 meters above the bottom of the pool.
1) Assuming that John's height in the wave tank follows a sinusoidal pattern, sketch a graph
of John's height on the coordinate grid below.
15
14
13
12-
11-
-10
09
8
7
6
-5
4-
3
2
1
2
6 7
2) What is the amplitude of the function?
00
8
10
12
22
33
15
15 16
7
17 18 19 20 21
3) What is the midline/vertical shift of the function?
4) What is its period?
5) What is the phase shift for a cosine function?
6) What is the phase shift for a sine function?
7) What is the cosine equation for this function? What is the sine equation for this function?
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 5 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage