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A sine function has the following key features:

Frequency = 1/4π

Amplitude = 2

Midline: y = 2

y-intercept: (0, 2)

 

I think it is y=3sin(4pix)+2 ? Am i correct?

 Jan 15, 2019
 #1
avatar+18071 
+2

Frequency  = 1 / period

  1/(4pi) = 1/period       Period = 4 pi      2pi / 4pi = 1/2

Amplitude = 2

Midline = 2    ( this means it is shifted UP 2 from its usual midline of y=0

Y intercept  0,2

2 sin (1/2x) +2  

 Jan 15, 2019
 #2
avatar+99585 
+2

We have the form

 

y = Asin (Bx + C) + D

 

A = the amplitude =  2

 

The period =  4pi

Thus....in 2pi....there is (1/2) of a period.....so "B" =  (1/2)

 

There is no phase shift....so......C = 0

 

Since the midline is 2, then D =  2

 

So  the equation is 

 

y =   2sin ( 1/2 * x) + 2    =  2sin (x/2) + 2

 

Here:  https://www.desmos.com/calculator/o4e9ngaqie

 

 

 

cool cool cool

 Jan 15, 2019
 #3
avatar+18071 
+2

Here is graph:

 

 

 Jan 15, 2019

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