Answered: Graph one complete cycle of each of the…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section: Chapter Questions

Problem 39RE

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Question

Graph one complete cycle of each of the following. In each case, label the axes accurately
and identify the amplitude, period, and vertical translation for each graph.

y =1 + 1/2 sin 3 x

Expert Solution

Step 1

Consider the given function $y = 1 + \frac{1}{2} \sin 3 x$

Step 2

Now draw the graph of the standard function $y = \sin x$

Step 3

Now draw the graph of $\sin 3 x$

Graph of $\sin x$ is horizontally stretched by $3$ unit

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