Question

The symmetry of a hyperbola with a center at (h, k) only occurs at x = h.

Just making sure this is false. My teacher gave us one of those practice guides with a few questions at the end.

Answer 1

symmetry for a hyperbola i think only occurs at for lines which are orientated 45 degrees to the direction of the asymptotes and pass directly through the focal point of the asymptotes

Answer 2

so i guess at a constant x value would be one of the reflections, but at a variable x value and a constant k value would be the other symmetrical reflection