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Graph a sine function whose amplitude is 3, period is 4π , midline is y = 2, and y-intercept is (0,2) .  The graph is not a reflection of the parent function over the x-axis.

Use the sine tool to graph the 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.

 

Can someone help me graph this?

 Jan 29, 2019
 #1
avatar+111357 
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We have the form

 

y = Asin (Bx + C) + D

 

A= the amplitude = 3

 

 

B can be found as follows

 

B = 2pi / period =  2pi / 4pi   =  1/2

 

 

C = phase shift.....there is none..so...C = 0

 

D = shift up/down.....the midline for the normal sine function would be y = 0

So....this is shifted up 2 units since the midline is y = 2

 

So....the function is

 

y = 3sin (  [ 1/2]  x) + 2

 

Here's the graph : 

 

 

cool cool cool

 Jan 30, 2019

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