Answer
$y=2 \sin x$
Work Step by Step
Upon inspection, we find that the graph shows a sin function with an amplitude of 2 and a period of $2\pi$.
In the equation $y=a \sin bx$, $a$ is the amplitude. Since the amplitude is 2, $a$ is equal to 2. To find the value of $b$, we use the formula:
Step 1: Period$=\frac{2\pi}{b}$
Step 2: $2\pi=\frac{2\pi}{b}$
Step 3: $b=\frac{2\pi}{2\pi}$
Step 4: $b=1$
Substituting the values of $a$ and $b$ in the equation $y=a \sin bx$, we find that the equation of the graph is $y=2 \sin x$.
