Answered: the sine curve y=a sin(k(x-b)) has…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter6: Trigonometric Functions: Unit Circle Approach

Section6.3: Trigonometric Graphs

Problem 4E

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DISCUSS: Sinusoidal Curves The graph of y=sinx is the same as the graph of y=cosx shifted to the right 2 units. So the sine curve y=sinx is also at the same time a cosine curve: y=cosx-2. In fact, any sine curve with a different horizontal shift, and any cosine curve is also a sine curve. Since and cosine curves are collectively referred to as sinusoidal. For the curve whose graph is shown, find all possible ways of expressing it as a sine curve y=asinx-b or as a cosine curve y=acosx-b. Explain why you think you have found all possible choices for a and b in each case.

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the sine curve y=a sin(k(x-b)) has amplitude _____, period____________. and horizontal shift_________

the sine curve y=a sin(k(x-b)) has amplitude _, period. and horizontal shift_