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Below is the graph of a trigonometric function. It has a maximum point at (14π,−2.2)(\frac{1}{4} \pi, -2.2) and a minimum point at (34π,−8.5)(\frac{3}{4} \pi, -8.5) what is the midline equation of the function

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Full solution

Q. Below is the graph of a trigonometric function. It has a maximum point at (14π,−2.2)(\frac{1}{4} \pi, -2.2) and a minimum point at (34π,−8.5)(\frac{3}{4} \pi, -8.5) what is the midline equation of the function
  1. Identify Points: Identify the yy-values of the maximum and minimum points. Maximum yy-value is −2.2-2.2 and minimum yy-value is −8.5-8.5.
  2. Calculate Midline: Calculate the average of the y-values to find the midline. Midline = (−2.2+−8.5)2=−5.35\frac{(-2.2 + -8.5)}{2} = -5.35.
  3. Write Midline Equation: Write the equation of the midline. The midline equation is y=−5.35y = -5.35.

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