Problem: How do you determine the line of symmetry of a reciprocal equation? Solution: For example, I'll graph the reciprocal function Y=1/(x+2) ^Just a quick sketch And the equation of the line of symmetry is simply -(x+2), which can be seen here: ^Also a quick sketch By adding a negative in front of any reciprocal equation, you have the line of symmetry. That much I figured out. The Real Problem: Why does this happen? I mean, how can I explain it in plain english?