Question

determine the equation of the midline of the following graph.

Explanation:

Step1: Identify max and min y-values

From the graph, the maximum y - value (peak) is \(-1\) and the minimum y - value (trough) is \(-3\).

Step2: Calculate midline value

The midline of a sinusoidal graph is the average of the maximum and minimum y - values. The formula for the midline \(y\) is \(y=\frac{\text{max}+\text{min}}{2}\). Substituting the values, we get \(y = \frac{-1+(-3)}{2}=\frac{-4}{2}=-2\).

Answer:

The equation of the midline is \(y = - 2\)