Sine Transformations

This is a graph of and of . Try changing the sliders to see how g(x) transforms f(x). Some facts about sin(x): - The domain is - The range is [-1,1] - It is continuous and smooth - It is odd; 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.