Answer
See graph and explanations.
Work Step by Step
1. Given $y=10cos(\frac{x}{4}+\frac{\pi}{2})=10cos[\frac{1}{4}(x+2\pi)]$, we have amplitude $10$, period $p=\frac{2\pi}{1/4}=8\pi$.
2. Graph $y=cos(x)$ (blue), shift $2\pi$ to the left, stretch horizontally by a factor of $4$, then stretch vertically by a factor of 10 to get $y=10cos(\frac{x}{4}+\frac{\pi}{2})$ (red).
