Question

Equation of the parabola having its focus at $S(2,0)$ and one extremity of its latus rectum as $(2,2)$ can be?

Answer 1

Clearly the other extremity of latus rectum is $(2,-2)$. It's axis is $x-$axis. Corresponding value of a $=\frac{2-0}{2}=1$

Hence it's vertex is $(1,0)$ or $(3,0)$

Thus it's equation is $y^2=4(x-1)$

or $y^2=-4(x-3)$