Question

Rewrite the parametric equations using Cartesian variables: x(t) = 3 + t, y(t) = –t2.

Answer 1

Step-by-step explanation:

$x = 3 + t$

$y = - t {}^{2}$

$x - 3 = t$

$y = - (x - 3) {}^{2}$

This is the answer or

$y = - {x}^{2} +6x - 9$

They are both parabola with a vertex at 3,0 , facing downwards.