Question

What is the equation of the midline of the graph of
`y = 3 \cos( (x)/(4) ) - 6`

Answer 1

The given equation is,

`y=3\cos ((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=(-3+(-9))/(2) \\ =-6 \end{gathered}`

Thus, the required equation is y=-6.