The graph below shows the function y= sin(x) with several transformations. -8 -3T |-2 -TT 2 TT Assume there is no phase shift. Identify the transformation from the basic graph of y = sin(x): Amplitude: Period: Vertical shift: Is there an x-axis reflection?

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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The graph below shows the function y = sin(x) with several transformations.
8
4
-3T
-2T
2T
3TT
-TT
TT
-2
Assume there is no phase shift. Identify the transformation from the basic graph of y = sin(x):
Amplitude:
Period:
Vertical shift:
Is there an x-axis reflection?
Transcribed Image Text:The graph below shows the function y = sin(x) with several transformations. 8 4 -3T -2T 2T 3TT -TT TT -2 Assume there is no phase shift. Identify the transformation from the basic graph of y = sin(x): Amplitude: Period: Vertical shift: Is there an x-axis reflection?
Expert Solution
Step 1

Amplitude is the maximum height from its mean position.

As its mean position is at 3 units in positive y direction and from there its height is 4 units.

So amplitude = 4

 

 

Period is the interval after which graph repeats its value.

Period =π 

 

 

 

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