How could I find the locus of M as P moves of the parabola. P is.(2at, at^2) . M is the midpoint of the x and y intercepts of the normal through P.
So far I was able to find the quation of the normal and thus was able to fund the midpoint. However I don't really i don't really understand how to find the locus. By the way I have a lot of trouble with my locus so if possible can you please give me up for links or instructions on how to find a locus, in general.
All help is appreciated!