Answer
Focus: $(0,p)=(0,-3)$ (Red line)
Directrix: $y=3$ (Black line)
Work Step by Step
Parabola in the standard form with the vertex at origin (vertical axis):
$x^2=4py$
$x^2+12y=0$
$x^2=-12y$
That is:
$4py=-12y$
$p=-3$
$(0,p)=(0,-3)$
Directrix: $y=-p=3$