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

Answer:

$y = - 6$

Explanation:

Step1: Recall cosine - function form

The general form of a cosine function is $y = A\cos(Bx - C)+D$.

Step2: Identify vertical shift

For the function $y = 3\cos(\frac{x}{4})-6$, here $A = 3$, $B=\frac{1}{4}$, $C = 0$ and $D=-6$.

Step3: Determine mid - line

The mid - line of the cosine function $y = A\cos(Bx - C)+D$ is given by the equation $y = D$. So for $y = 3\cos(\frac{x}{4})-6$, the mid - line is $y=-6$.