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.
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