Morphing Cartesian to Polar Coordinates

This Demonstration helps you visualize how a rectangular graph becomes a polar graph. Given a function , each point is initially graphed in a - plane using a rectangular coordinate system. The points are then moved along linear paths to their corresponding polar locations in the - plane. Colors help indicate which points end up where and how the relative extrema become extrema in the polar graph. Constant and constant illustrate how the rectangular grid becomes a polar grid.

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