Question

Find the equation of the parabola whose-
Vertex $(-2,0)$; Focus $(0,0)$

Answer 1

As the focus is $(0,0)$ and focus is $(-2,0)$ then $y=0$ is the axis of symmetry.

The equation of the parabola will be $(y+2{)}^2=4ax$.

Where $a=2$.

Then the equation will be $(y+2{)}^2=8x$.