Answer
See graph and explanations.
Work Step by Step
1. Given $y=4cos(\frac{3}{2} x)$, we have amplitude $4$, period $p=\frac{2\pi}{3/2}=\frac{4\pi}{3}$.
2. Graph $y=cos(x)$ (blue), shrink horizontally by a factor of $\frac{3}{2}$, then stretch vertically by a factor of 4 to get $y=4cos(\frac{3}{2} x)$ (red).
