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 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;
[tex]\rm Mid-line=\dfrac{Highest \ value + Lowest \ value}{2}[/tex]
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;
[tex]\rm Mid-line=\dfrac{Highest \ value + Lowest \ value}{2}\\\\\rm Mid-line=\dfrac{5+(-5)}{2}\\\\Mid-line =\dfrac{0}{2}\\\\Mid-line =0[/tex]
Hence, The equation of the midline of the sinusoidal function is y =0.
Learn more about Sinusoidal Function here:
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