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Write an Equation for the Function That Is Described by the Given

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Write an equation for the function that is described by the given characteristics. ​
A cosine curve with a period of 4π, an amplitude of 7, a right phase shift of Write an equation for the function that is described by the given characteristics. ​ A cosine curve with a period of 4π, an amplitude of 7, a right phase shift of   , and a vertical translation up 2 units. ​ A)    B)    C)    D)    E)   , and a vertical translation up 2 units.


Definitions:

Pure Private Good

A type of good that is both excludable and rival in consumption, meaning access to the good can be limited, and one person's use of the good diminishes its availability for others.

Pure Public Good

A pure public good is characterized by non-excludability and non-rivalry, meaning one person's consumption does not reduce availability for others and no one can be prevented from consuming it.

Single Peaked

Refers to a preference or utility pattern where an individual's satisfaction increases up to a certain point, after which it starts to decrease, creating a peak at the optimum point.

Public Goods

Goods that are characterized by being non-excludable and non-rivalrous, meaning that no one can be excluded from their use and one person's use does not diminish another's.

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