Is it OK for anyone to chime in?.

This is a different parabola problem. Cool.

F(-1,1) and directrix is the line y=2x-1.

Standard form of line is

We can use this in the right side of the following equation, which is the distance form a point to a line formula.

Square both sides and expand:

And that is the equation of said parabola. Assuming I didn't make a mistake.