Homework Help is Here – Start Your Trial Now!
Math
Calculus
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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 60E
See similar textbooks
icon
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?
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
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 5 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
SEE MORE TEXTBOOKS