Question

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

Answer 1

y = -3

Explanation:

The midline of a sinusoidal function is y = a where "a" is halfway between the minimum and maximum y-values of the function.

From inspection of the given graph:

• Maximum y-value = 1
• Minimum y-value = -7

Therefore, the y-value that is halfway between the minimum and maximum points is:

`\implies y=(y_2+y_1)/(2)=(-7+1)/(2)=(-6)/(2)=-3`

Therefore, the equation of the midline of the given sinusoidal function is:

• y = -3