Answer
$a=1, b=-4$ and $c=12$
Work Step by Step
Given : $x^{2}-4x=-12$
Adding $12$ on both sides, we obtain
$x^{2}-4x+12=-12+12$
This can be written as $x^{2}-4x+12=0$
Comparing $x^{2}-4x+12=0$ with $ax^{2}+bx+c$, we get
$a=1, b=-4$ and $c=12$