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:

James Coleman

An influential American sociologist known for his contributions to educational sociology, social theory, and the concept of social capital.

Power Differentials

The differences in power between individuals, groups, or institutions, often contributing to variations in their ability to influence outcomes.

Equal Rewards

The principle that individuals who contribute similarly to a task or society should receive similar compensations, recognitions, or resources.

Associations

Organized groups of people who come together to pursue common interests, goals, or activities.