Question

Find the equation of the parabola whose-
Vertex $(0,0)$; Focus $(3,0)$

Answer 1

Vertex is $(0,0)$ and focus is $(3,0)$

The distance between focus and vertex $\left(a\right)=\sqrt{(3-0{)}^2+(0-0{)}^2}\sqrt{9+0}=3$

The equation of parabola is given as $(y-0{)}^2=4(3\left)\right(x-0)y^2=12x$