Question

Below is the graph of a trigonometric function. It has a maximum point at (-5pi/4,6.7) and an amplitude

of 4.1. What is the midline of the function? Y=____

Answer 1

We have been given that the maximum point at the graph of a trigonometric function is
`(-(5\pi)/(4),6.7)` and amplitude of the function is 4.1. We are asked to find the mid-line of the given function.

We will use mid-line formula to solve our given problem.

`\text{Mid-line value}=\text{Maximum value}-\text{Amplitude}`

Upon substituting our given values in above formula, we will get:

`\text{Mid-line value}=6.7-4.1`

`\text{Mid-line value}=2.6`

Therefore, the mid-line of the given function would be
`y=2.6`.