Question

What is the equation of the midline of the graph of $y = 3 \cos( \frac{x}{4} ) - 6$

Answer 1

The given equation is,

$y=3\cos (\frac{x}{4})-6$

The graph can be drawn as,

The value of y varies from -3 to -9.

The equation of midline can be determined as,

$\begin{gathered} y=\frac{-3+(-9)}{2} \\ =-6 \end{gathered}$

Thus, the required equation is y=-6.