Question

I think is the average of the highest point and the lowest one, what's the midline of the graph?

Answer 1

The Midline of a Sinusoid

A sinusoid is a periodic function which parent expression is:

f(x) = A. sin (wt)

Where A is the amplitude and w is the angular frequency

The sine function has a maximum value of A and a minimum value of -A.

The midline can be found as the average value of the maximum and the minimum value.

For the parent function explained above, the midline is:

`M=\frac{\text{Mx}+Mn}{2}`

Since Mx and Mn are, respectively A and -A, the midline is zero.

The graph shown in the image has a maximum of Mx=1 and a minimum of Mn=-5.

Thus, the midline is:

`M=\frac{\text{1}-5}{2}=-(4)/(2)=-2`

The midline of the graph is y=-2