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Below is the graph of a trigonometric function. It intersects its midline at (8.7,7.2), and it has a minimum point at (6.2,3.8). What is the amplitude of the function? units

Below is the graph of a trigonometric function. It intersects its midline at (8.7,7.2) (8.7,7.2) , and it has a minimum point at (6.2,3.8) (6.2,3.8) .\newlineWhat is the amplitude of the function?\newlineunits

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Q. Below is the graph of a trigonometric function. It intersects its midline at (8.7,7.2) (8.7,7.2) , and it has a minimum point at (6.2,3.8) (6.2,3.8) .\newlineWhat is the amplitude of the function?\newlineunits
  1. Understand Amplitude Calculation: First, we need to understand that the amplitude of a trigonometric function is the distance from the midline to either the maximum or minimum point of the function. Since we have the coordinates of the midline and the minimum point, we can calculate the amplitude by finding the vertical distance between these two points.
  2. Find Midline and Minimum Point: The midline is at a y-value of 7.27.2, and the minimum point is at a y-value of 3.83.8. To find the amplitude, we subtract the y-value of the minimum point from the y-value of the midline.\newlineAmplitude = Midline y-value - Minimum point y-value\newlineAmplitude = 7.2−3.87.2 - 3.8
  3. Calculate Amplitude: Now, we perform the subtraction to find the amplitude.\newlineAmplitude = 7.2−3.8=3.47.2 - 3.8 = 3.4 units

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