The function $y = - 2 \cos \left( \frac { t } { 3 } \right)$ models the displacement of an object moving in simple harmonic motion, where y is measured in inches and t in seconds. Find the amplitude, period, and frequency of motion and sketch a graph of the function over one complete period.

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The Answer of The function $y = - 2 \cos \left( \frac { t } { 3 } \right)$ models the displacement of an object moving in simple harmonic motion, where y is measured in inches and t in seconds. Find the amplitude, period, and frequency of motion and sketch a graph of the function over one complete period.

The Function y=−2cos⁡(t3)y = - 2 \cos \left( \frac { t } { 3 } \right)y=−2cos(3t​)

The Function $y = - 2 \cos \left( \frac { t } { 3 } \right)$