Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN: 9780134217437
Author: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher: PEARSON
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The dashed curve represents the previous graph and the solid curve represents the new graph. Write the equation of each graph on the space provided.

3. Sine Function
AA/
Graph 1:
(stretched vertically)
y = sin x
%3D
Graph 2:
In
(stretched horizontally)
Graph 1
Graph 3:
(shifted to the right)
Graph 2
Graph 3
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Transcribed Image Text:3. Sine Function AA/ Graph 1: (stretched vertically) y = sin x %3D Graph 2: In (stretched horizontally) Graph 1 Graph 3: (shifted to the right) Graph 2 Graph 3
Graph 3:
(shifted to the right)
Graph 2
Graph 3
Graph 4:
(shifted downward)
Graph 5:
(reflected)
+Graph 4
expand button
Transcribed Image Text:Graph 3: (shifted to the right) Graph 2 Graph 3 Graph 4: (shifted downward) Graph 5: (reflected) +Graph 4
Expert Solution
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Step 1

Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and specify the other subparts (up to 3) you’d like answered.

Step 2

The general form of sine function is y=AsinBx+C+D

Amplitude=APeriod=2πBHorizontal shift=CVertical shift=D

The original graph is of the function y=sinx

The amplitude of the Graph 1 becomes 3.

A=3

So the equation of Graph 1 is    y=3sinx    

 

 

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