## Calculus 8th Edition

$$y^2=-12(x+1)$$
The equation of parabola when the distance of the point $(x,y)$ from the line $x=2$ is $|x-2|$ Thus, $|x-2|=\sqrt {(x+4)^2+y^{2}}$ Hence, $y^2=-12x-12=-12(x+1)$