Find the Amplitude, Period, and Phase Shift of the Function $y = 2 \cos \left( \frac { 1 } { 4 } x + \frac { 1 } { 2 } \pi \right)$

question 45

Essay

Find the amplitude, period, and phase shift of the function $y = 2 \cos \left( \frac { 1 } { 4 } x + \frac { 1 } { 2 } \pi \right)$ , and sketch its graph for one complete period.

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Definitions:

Triazolam

A benzodiazepine used to treat insomnia by decreasing the time to fall asleep.

PO HS

An abbreviation in medical prescriptions indicating that the medication should be taken orally (PO) at bedtime (HS).

Agitated Patient

An individual who is noticeably restless or disturbed, often seen in healthcare settings.

Levothyroxine

A synthetic form of thyroxine, a hormone produced by the thyroid gland, used to treat hypothyroidism and certain types of thyroid tumors.