This is not a standard parabola!Geometry Level 2
A point \(P(1,5)\) lies on a parabola whose:
1) Focus is at \(F(a,3)\)
2) Axis of symmetry is parallel to the \(x\)-axis.
3) Vertex lies on the \(y\)-axis.
Find the length of the latus rectum of the parabola given above.