Answer
$y=4sin(\frac{1}{4} x)$
Work Step by Step
1. Based on the given graph, we can initially identify that it resembles a graph of sine.
2. We can determine the amplitude $|A|=4$, period $p=8\pi$, passing $(2\pi,4)$.
3. Write a model as $y=4sin(\omega x)$
4. We have $\frac{2\pi}{\omega}=8\pi$, thus $\omega=\frac{1}{4}$
5. The equation is $y=4sin(\frac{1}{4} x)$
