Question

Find the parametric equation of the parabola $(x-1{)}^2=-12(y-2)$

Answer 1

Camparing the equation of parabola,

$\because 4a=-12\Rightarrow a=-3,y-2=a{t}^2$
$x-1=2at\Rightarrow x=1-6t,y=2-3t^2$