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What is the equation for the graph of the cosine function?

 Jan 15, 2019
edited by Guest  Jan 15, 2019
 #1
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We have the following form

 

f(x)  =  Acos (Bx + C) + D

 

A = the amplitude  =    [ high point - low point ] / 2 =   [ 4.5 - 3.5 ] / 2  =  1/2

 

The period is pi

So

B =   2pi / period  =  2pi / pi   =  2

 

C = phase shift   ....there is none

 

D =  this is the  cosine graph  with an amplitude of 1/2 shifted up 4 units......so  4  

 

So....the graph is

 

f(x)  = (1/2) cos (2x) + 4

 

 

Thanks to EP for pointing out my error.....!!!

 

 

cool cool cool

 Jan 15, 2019
edited by CPhill  Jan 15, 2019

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