Thread: can anybody assist me? I might have a general method for non-linear reflections.

I've been spending the past 4 months trying to answer this question "Can one take a function, such as a line [ we'll call ] , and reflect it over a curved function [we'll call it ] and arrive at a parametric equation of the reflected graph [ we'll call it ] ? " I've dug through the internet and asked my teachers and nobody seems to know. But I've been working day and night and I've made a major break through, I was able to derive half of the graph for !!! I'm still working on the other half, but this is incredible to me. I've genereated all my work digitally. Is someone willing to at least look over my work? I cant find anybody interested enough but I know if theres one place to find somebody it'd be on this math forum.
With Much Hope and Thanks,

Mike