ParametricPlot

The same as Plot, but accepts function generating pairs of {x,y}

ParametricPlot[{Sin[t], Cos[t]}Exp[-t], {t, 0, 2Pi}]

Examples

Generate complex parametric plot

ParametricPlot[
 With[{z = u + I v}, {Re[z + 1/z], Im[z + 1/z]}], {u, -1/2, 
  1/2}, {v, -1/2, 1/2}, PlotRange -> 5, Mesh -> Automatic]

Map a texture to parametric plot

Consider to use ManipulateParametricPlot for manipulating parameters of a function in real time