find the vertical shift of the sinusoidal function. simplify any fractions. vertical shift =

Explanation:

Step1: Identify max and min values

The maximum value of the function from the graph is $y = 3$ and the minimum value is $y=- 3$.

Step2: Use vertical - shift formula

The formula for the vertical shift $D$ of a sinusoidal function $y = A\sin(Bx - C)+D$ is $D=\frac{\text{max}+\text{min}}{2}$. Substitute $\text{max}=3$ and $\text{min}=-3$ into the formula: $D=\frac{3+( - 3)}{2}$.

Step3: Calculate the result

$\frac{3+( - 3)}{2}=\frac{3 - 3}{2}=0$.

Answer:

$0$