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Sketch a sinusoidal graph with amplitude 2, period 2, and equation of axis y=-4.  Sketch at least 2 cycles.

 

The equation of axis is max+min/2 and is the phase shift of the graph. And is the midway of the graph. 

 

Thanks so much in advance 

 

P.S sorry if I'm being annoying. 

Julius  May 19, 2017
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We have  the form   y  = Asin [Bx + C] + D

 

A  = the amplitude  = 2

 

D is the midline  = -4 

 

We can find B  thusly

 

period  =   regular period / B  .... so.....  2  =  2pi / B →    B =  2pi/ 2  =  pi  

 

So we have

 

y =  2sin [ pi*x ] - 4

 

We have no shift so "C"  = 0

 

I haven't heard of the equation  of the axis before.....but I assume that we have  x = 0   and y = -4

 

Here's the graph : https://www.desmos.com/calculator/4ijjishjps

 

 

cool cool cool

CPhill  May 19, 2017

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