# Cosine Transformations

This is a graph of and of . Try changing the sliders to see how g(x) transforms f(x).
Some facts about cos(x):
- The domain is
- The range is [-1,1]
- It is continuous and smooth
- It is even; recall that this means that
- It has period ; this means that as x moves along, the y-values repeat starting every
- its zeros are located at , where k is an integer. We can find these by first noting that , and then that the period tells us that every time we add multiples of , we repeat ourselves.

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