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I need help with this graph.

 

 Aug 15, 2020
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Start with a sin graph    (you could also use a cos graph)

change amplitude from 1    to  6   (the height of the wave is  -2 to -14  a distance of 12 ....amplitude is 1/2 height)

6 sin x       

shift the midline down from 0 to -8

6 sin x    - 8

 

change period from 2pi   to 2.5 pi       2pi / 2.5 pi = .8      Multiply the object of the sin fxn by .8

6 sin (.8x )    - 8

shift peak from  the new peak    5pi/8    RIGHT to 6 pi/8     so subtract  pi/8 from x

6 sin .8(x - pi/8) - 8           simplify a bit

6 sin (.8x - .1pi) - 8

 

 

Here is a graph :  

https://www.desmos.com/calculator/lpxwuenxzi

 Aug 15, 2020

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