Answer
Focus: $(0,p)=(0,-3)$ (Red line)
Directrix: $y=3$ (Black line)
![](https://gradesaver.s3.amazonaws.com/uploads/solution/691106e5-e581-4866-87c3-7d5586ad985d/result_image/1564453125.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T022429Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=cdb3e0789dbd0d100172983992589bfc0e563ccb06eb402abdfabbaf173542c8)
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: $y=-p=3$