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Parabola

The simplest equation for a parabola, y = x 2 {\displaystyle y=x^{2}}

can be (trivially) parameterized by using a free parameter t, and setting x = t, y = t 2 f o r − ∞ < t < ∞. {\displaystyle x=t,y=t^{2}\quad \mathrm {for} -\infty <t<\infty.}