A curve is given by the parametric equations $x={{t}^{2}}-3,\,\,y=t({{t}^{2}}-3)$. Find the Cartesia

Question

A curve is given by the parametric equations $x={{t}^{2}}-3,\,\,y=t({{t}^{2}}-3)$. Find the Cartesian equation. Prove that the curve is symmetrical about the $x$-axis. Show that there are no points on the curve for which $x < -3$.

Accepted Answer

(a) y² = x²(x+3); (b) symmetrical about x-axis; (c) no points when x < -3

ACJC Tutorial Q2

ACJC Tutorial Q2

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