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Maltese Cross

Sketch the graph of $xy(x^2 - y^2) = x^2 + y^2$ consisting of four curves and a single point at the origin. Convert to polar form. Describe the symmetries of the graph.

Polar Flower

This polar equation is a quadratic. Plot the graph given by each factor to draw the flower.

Polar Bearings

Age 16 to 18 Challenge Level:

The article Where? Over There... introduces polar coordinates, so it might be useful to read it through to help you to get started on this problem.