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Below is the graph of a trigonometric function. It intersects its midline at $(\pi\tau, 2.75)$ , and it has a maximum point at $(\frac{5}{4}\pi\tau, 6.75)$ what is the amplitude of the function

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Relate position, velocity, speed, and acceleration using derivatives

Full solution

Q. Below is the graph of a trigonometric function. It intersects its midline at

(\pi\tau, 2.75)

, and it has a maximum point at

(\frac{5}{4}\pi\tau, 6.75)

what is the amplitude of the function

Identify values: Identify the maximum value and the midline value of the function. $\newline$ Maximum value at $(\frac{5}{4}\pi, 6.75)$ $\newline$ Midline value at $(\pi, 2.75)$
Calculate amplitude: Calculate the amplitude using the formula: Amplitude = $(\text{Maximum value} - \text{Midline value}) / 2$ . $\text{Amplitude} = (6.75 - 2.75) / 2$ $\text{Amplitude} = 4 / 2$ $\text{Amplitude} = 2$

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