Question

If the vertex and focus of a parabola are $(3,3)$ and $(-3,3)$ respectively, then its equation is

• A. $x^2+6x-24y+63=0$
• B. $x^2-6x-24y-63=0$
• C. $y^2-6y+24x-63=0$
• D. $y^2+6y-24x+63=0$

Answer 1

The correct option is C $y^2-6y+24x-63=0$

Vertex of the parabola is at $(3,3)$ and foci is at $(-3,3)$

So here $a=6$

Hence equation should be ${(y-3)}^2=-24(x-3)$