Question

Math

Posted 3 months ago

```
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?
$y=$
```

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Answer from Sia

Verified answer

Posted 3 months ago

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.

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