Answer
$y=1-cos(\frac{4\pi}{3} x)$
Work Step by Step
1. Based on the given graph, we can initially identify that it resembles a graph of negative cosine shifted 1 unit up.
2. We can determine the amplitude $|A|=1$, period $p=\frac{3}{2}$, passing $(0,0)$.
3. Write a model as $y=1-cos(\omega x)$
4. We have $\frac{2\pi}{\omega}=\frac{3}{2}$, thus $\omega=\frac{4\pi}{3}$
5. The equation is $y=1-cos(\frac{4\pi}{3} x)$
