Answer
See graph and explanations.
Work Step by Step
Step 1. Given $y=2sin(2\pi x), 0\leq x\leq 2$, we can identify its amplitude as $|A|=2$, period as $p=\frac{2\pi}{2\pi}=1$, and phase shift as $0$.
Step 2. Draw $y=2sin(x)$ (red) and shrink the curve horizontally by a factor of $2\pi$ as shown in the figure (blue).