# Reflecting Graphs over Lines

• Nov 29th 2010, 09:45 AM
FatherMike
Reflecting Graphs over Lines
I was wondering what I would do to the equation of any graph if I wanted to reflect it over a line, say x=k.

Merci
• Nov 29th 2010, 10:02 AM
VonNemo19
If $y=f(x)$ is the original function, then to reflect through $x=k$ then we must have $y=f(-x-k)$
• Nov 29th 2010, 10:28 AM
KatyCar
I always find it best to work with an examples.

If you had a parabola y = x^2 reflected on x=2, substitute x for 4-x, so y = (4-x)^2
If you had a line y=x reflected on x=2, same thing as about , so y = (4-x)

Good luck!