How does the function y = f(x) in rectangular coordinates relate graphically to the curve r = f(theta) in polar coordinates?[br]I recall trying to explain to my Calculus class last year how one may envision taking the rectangular function (or more specifically, its inverse) and wrapping it around a pole at the origin. Clearly my explanation fell short on many students.[br]This Geogebra construction is intended to demonstrate that concept.

Drag the "wrap" slider left to right to see the function flip across y=x to display its inverse and then proceed to wrap around the pole.[br]Dynamically drag the original function (gray graph) up and down, left and right, and notice how the polar graph transforms accordingly.[br]Alternately, enter your own function into the f(x) box.