Question

What is the equation of the midline of the sinusoidal function? Enter your answer in the box.

Answer 1

The equation of the midline of the sinusoidal function is y =0.

We have to determine

What is the equation of the midline of the sinusoidal function?

The midline of the sinusoidal function;

The mid-line of any Sinusoidal function is a line that goes between the highest and lowest values of y of that function.

Here we will take the middle value of y.

The formula is used to find midline is;

$\rm Mid-line=\dfrac{Highest \ value + Lowest \ value}{2}$

In the given graph, the Highest value of the function is 5 and the Lowest value of the function is -5.

Substitute all the values in the formula;

$\rm Mid-line=\dfrac{Highest \ value + Lowest \ value}{2}\\\\\rm Mid-line=\dfrac{5+(-5)}{2}\\\\Mid-line =\dfrac{0}{2}\\\\Mid-line =0$

Hence, The equation of the midline of the sinusoidal function is y =0.

Learn more about Sinusoidal Function here:

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