Problem

Use the graph of \(H(t)~=~5\cos((\pi~/2)(t~-~1))~+~18\) to state the amplitude, midline, period, frequency, phase shift, range, and behavior at \(t~=~1\), with units.

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The amplitude is 5 height units, the midline is 18 height units, the period is 1/4 cycle per second, the frequency is 4 seconds, the phase shift is 1 second right, and the range is [13, 23] height units. At t = 1, the rider is at the modeled maximum height of 23.

The amplitude is -5 height units, the midline is 18 height units, the period is 4 seconds, the frequency is 1/4 cycle per second, the phase shift is 1 second right, and the range is [13, 23] height units. At t = 1, the rider is at the modeled maximum height of 23.

The amplitude is 5 height units, the midline is 18 height units, the period is 4 seconds, the frequency is 1/4 cycle per second, the phase shift is 1 second right, and the range is [-5, 5] height units. At t = 1, the rider is at the modeled maximum height of 23.

The amplitude is 5 height units, the midline is 18 height units, the period is 4 seconds, the frequency is 1/4 cycle per second, the phase shift is 1 second right, and the range is [13, 23] height units. At t = 1, the rider is at the modeled maximum height of 23.

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Use the graph of \(H(t)~=~5\cos((\pi~/2)(t~-~1))~+~18\) to state the amplitude, midline, period, frequency, phase shift, range, and behavior at \(t~=~1\), with units.

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