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How do you write the equation of the cosine function with an amplitude of 1, a period of 3pi/7, a phase shift of -pi/5, and a vertical shift of 2 units down?

Answer 1

Quinn Anderson

Write cosine function

#y = cos ((14x)/3 - pi/5) - 2#

Amplitude (-1, 1)

Period --> #(3(2pi))/14 = (6pi)/14 = (3pi)/7#

Phase shift: #(-pi)/5#

Vertical shift: - 2

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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