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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

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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