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

Explanation:

Step1: Identify mid - line

The mid - line of a sinusoidal function is the horizontal line that the graph oscillates around. To find it, we can use the maximum and minimum values of the function. The maximum value of the function from the graph is $y = 3$ and the minimum value is $y = 1$.

Step2: Calculate mid - line value

The formula for the mid - line (vertical shift) of a sinusoidal function given the maximum value $M$ and minimum value $m$ is $d=\frac{M + m}{2}$. Here, $M = 3$ and $m = 1$, so $d=\frac{3+1}{2}$. $d = 2$.

Answer:

$2$