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The graph of a sine function has an amplitude of 2, a vertical shift of −3, and a period of 4. These are the only transformations of the parent function.

The first point must be on the midline, and the second point must be a maximum or minimum value on the graph closest to the first point.

 May 20, 2020
 #1
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We have the  form

 

y  =  Asin (Bx )  + C

 

A   = the amplitude  =  2

 

C = the vertical shift  =  - 3

 

B  is  the  hardest to calculate

 

B  =   2pi  / period

 

B =   2pi  / 4

 

B =  pi/2

 

So....our function is  

  

y = 2sin[ (pi/2) x ]   -  3

 

Here's the graph  :  https://www.desmos.com/calculator/h2aglcdrbw

 

 

cool cool cool

 May 20, 2020

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