Equation of Curve Reflected in Line x=c

What is the equation of the curve  

\[y=f(x)\]
  after reflection in the line  
\[x=k\]
?
It is  
\[y=f(-(x-2k))\]
.
For example  
\[y=x^2+2x\]
  when reflected in the line  
\[x=3\]
  becomes  
\[f(-(x-6))=(-(x-6))^3+2(-(x-6))=x^2-12x+36-2x+12=x^2-14x+48\]
.

reflection

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