Answer
$y=\frac{3}{4}sin(2\pi x)$
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 $|A|=\frac{3}{4}$, period $p=1$, passing $(\frac{1}{4},\frac{3}{4})$.
3. Write a model as $y=\frac{3}{4}sin(\omega x)$
4. We have $\frac{2\pi}{\omega}=1$, thus $\omega=2\pi$
5. The equation is $y=\frac{3}{4}sin(2\pi x)$
