ParametricPlot[{fx, fy}, {u, umin, umax}]
generates a parametric plot of a curve with x and y coordinates and as a function of u.

ParametricPlot[{{fx, fy}, {gx, gy}, ...}, {u, umin, umax}]
plots several parametric curves.

ParametricPlot[{fx, fy}, {u, umin, umax}, {v, vmin, vmax}]
plots a parametric region.

ParametricPlot[{{fx, fy}, {gx, gy}, ...}, {u, umin, umax}, {v, vmin, vmax}]
plots several parametric regions.

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