Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

I'm trying to mirror a function $f(x)$ about the $x=c$ axis. To mirror it about the $x=0$ axis you just have to plot $f(-x)$.

I tried to mirror $f(x) = x^2$ about the $x = c$ axis. And I found that the mirrored function of $f$ is $(x-2c)^2$.

This just works for the $x^2$ function, but I need to mirror any function. How to do that?

share|improve this question

1 Answer 1

up vote 1 down vote accepted

In general, $f(x)$ mirrored across the line $x=c$ is simply $f(2c-x)$. To see this, note that we can mirror $f(x)$ by translating it down by $c$, flipping it and then translating it back up by $c$, which gives $$f(x)\to f(x-c)\to f(c-x)\to f(2c-x)$$

share|improve this answer
    
Thanks! Do you know how to mirror across the line $y=c$? –  Cobold May 25 '12 at 21:58
    
@Cobold The situation is almost identical. Just translate along the $y$ axis instead of $x$. –  Alex Becker May 25 '12 at 21:59

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.