I know how to take the reflection of a graph in the [itex]y=x[/itex] line, or more formally, finding the inverse function. All I really do is switch the x and y variables in the function. e.g. [itex]y=x^2[/itex], [itex]x=y^2[/itex] I tried taking the same idea and extending it to a reflection in the y=mx line, m constant. But I encountered problems as such: Take the function [itex]y=(x+1)^2[/itex], reflect it in the line [itex]y=2x[/itex] or [itex]x=y/2[/itex] I tried using the same idea as before, so I substitute all x and y variables as such and this is the result: [tex]y=(x+1)^2 : 2x=(y/2+1)^2[/tex] But when I graph both functions, it doesn't look correct. The new 'reflected' function looks much too fat/shallow. Could someone please explain what I'm doing wrong. Where is my logic flawed here?