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What cosine function represents a amplitude of 3, a period of #pi#, no horizontal shift, and a vertical shift of 2?

User Elanh
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1 Answer

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The parent cosine function is:


y=cos(x)

The amplitude of the given function is 3, so the equation becomes:


y=3cos(x)

The period of parent cosine function is 2π. In order to have a period of π, x will be multiplied by 2. So the function becomes:


y=3cos(2x)

There is no horizontal shift. There is a vertical shift of 2, so 2 will be added to the function value. Thus the final expression for the function becomes:


y=3cos(2x)+2

User Zulay
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