hi, all,im a 6th form further maths a-level student, and we've done loads about reflecting a line, (point, shape etc.) in a straight line, (eg. y=x), but im intrigued about how to reflect a line in a curve, (eg. y=x^2). i have a theory that you just draw a normal to the curve joining a series of points on the line being reflected, going equidistant to the other side of the curve.
(i hope this makes sense, cos i'm predominantly a mathematician, and can't speak or write properly!)
all the best ian