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

#1
**+1 **

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

CPhill
May 19, 2017