Question
Asked Sep 26, 2019
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How do I find the points to graph y= -2sin(1/4x)

I understand that the period =8pi and the amplitude is 2

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Expert Answer

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Step 1

The graph of y = –2sin(x/4) is a reflection across the x axis and a horizontal stretching of the graph of y = sin x.

Compare the equation y = –2sin(x/4) with the equation y = A sin (BxC) + D and obtain the value of B as (1/4) and A as –2.

Step 2

The domain of y = sin x is the set of all real numbers and range is [–1,1].

Consider the key points of y = sin x as follows.

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Зл Зл -,1 (-,0) 2 (0,0) (T,0), -1

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Step 3

First obtain the key points of y = sin(x/4) by dividing the first coor...

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( -6π,1), (-4π, 0), (-2π,-1), ( 0,0) , (2π,1), (4π,0) , (6π,-1)

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