Answer
$y^2=48x$
Work Step by Step
Step 1. Based on the given conditions, we have $2p=12-(-12)=24$ or $p=12$ and the parabola opens to the right.
Step 2. The vertex is at $(\frac{12-12}{2},0)$ or $(0,0)$ and we can write the equation as $y^2=4(12)x=48x$