Here is what I have found so far:
Vertical Displacement = 2 units down (-2)
Amplitude = 4
Period = 2pi/3
I am now trying to find the phase shift. I moved the 'working x-axis' 2 units down, in accordance with the vertical displacement of -2. Since the cosine function starts at 1 on the y-axis, how do I find the phase shift. If the x-axis is at -2, then the point where y=1 is a tiny fraction of a unit away from the y-axis. So how do I find the phase shift?
Best Answer
The simple function $4\cos(x)$ will have a relative maximum at $(0,4)$. However, your function seems to be $4\cos(x-1)-2$. The phase shift I believe is $\frac{\omega}{\phi}$. In this case, $\omega = 1$ and $\phi=1$. So the phase shift is $\frac{1}{1}=1$.