question\ndetermine the equation of the midline of the following graph.

Explanation:

Step1: Identify the maximum value.

The highest points on the graph occur at $y = 1$. $$ \text{Maximum value} = 1 $$

Step2: Identify the minimum value.

The lowest points on the graph occur at $y = -3$. $$ \text{Minimum value} = -3 $$

Step3: Calculate the midline y-value.

The midline is the average of the maximum and minimum values. $$ y_{\text{midline}} = \frac{\text{Maximum value} + \text{Minimum value}}{2} $$ $$ y_{\text{midline}} = \frac{1 + (-3)}{2} = \frac{-2}{2} = -1 $$

Step4: Write the equation of the midline.

The midline is a horizontal line with the calculated y-value. $$ y = -1 $$

Answer:

$y = -1$