Below is the graph of a trigonometric function. It has a minimum point at $(-5.4,1.25)$ and a maximum point at $(7.4,6.75)$.

What is the midline equation of the function?
$$
y=
$$

Question

Below is the graph of a trigonometric function. It has a minimum point at $(-5.4,1.25)$ and a maximum point at $(7.4,6.75)$.

What is the midline equation of the function?
$$
y=
$$

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ Identify the maximum and minimum points of the trigonometric function. ‖ ‖ step 2 ⋮ The maximum point is $(7.4, 6.75)$ and the minimum point is $(-5.4, 1.25)$. ‖ ‖ step 3 ⋮ Calculate the average of the y-values of the maximum and minimum to find the midline. ‖ ‖ step 4 ⋮ The average is $\frac{6.75 + 1.25}{2} = 4$. ‖ ‖ step 5 ⋮ The equation of the midline is a horizontal line at this average value. ‖ ‖ step 6 ⋮ Therefore, the midline equation is $y = 4$. ‖ ∻[1] Answer∻ ⚹ $y = 4$ ⚹ ∻Key Concept∻ ⚹Midline of a Trigonometric Function⚹ ∻Explanation∻ ⚹The midline of a trigonometric function is the horizontal line that passes exactly halfway between the maximum and minimum values of the function. It is found by averaging the y-values of the maximum and minimum points.⚹◊What is the formula for calculating the midline equation of a trigonometric function?⍭ Generate me a similar question◊

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