Explanation Approach: The following key point has been used to write the answer: The definition of The Shifted Sine states that the sine curve y = a sin k ( x − b ) ( k > 0 ) have amplitude | a | , period 2 π / k , and horizontal shift b . An appropriate interval on which to graph one complete period is [ b , b + ( 2 π / k ) ] . The following steps have been followed to find out the answer: Step-1: From the given figure, find out the values of the amplitude, period and horizontal shift. Step-2: Apply the values in the given equation as per the definition of the Shifted Sine definition. Calculation: 1) The given figure is shown below: The given equation form is y = a sin k ( x − b ) . As per the Shifted Sine definition, here a is amplitude which is | a | , b is horizontal shift and the period is 2 π / k . From the above figure, we can understand that the amplitude of the graph a = 2 . Horizontal shift b = − π 3

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN: 9781305071742

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: Cengage Learning

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Chapter 6.CT, Problem 11CT

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The function, if the given graph is one period of a function of the form y=asink(x−b).

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Chapter 6.CT, Problem 10CT

Chapter 6.CT, Problem 12CT

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Algebra and Trigonometry (MindTap Course List)

Ch. 6.1 - Prob. 1E Ch. 6.1 - a If we mark off a distance t along the unit...Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E Ch. 6.1 - Prob. 5E Ch. 6.1 - 3 8. Points on the Unit Circle Show that the...Ch. 6.1 - 3 8. Points on the Unit Circle Show that the...Ch. 6.1 - Prob. 8E Ch. 6.1 - Prob. 9E Ch. 6.1 - Prob. 10E

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The function, if the given graph is one period of a function of the form y = a sin k ( x − b ) .

Solution Summary: The author explains the definition of the Shifted Sine, which states that the sine curve y=amathrmsink(x-b) has amplitude

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The function, if the given graph is one period of a function of the form y=asink(x−b).

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Chapter 6 Solutions