Question

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

Answer 1

Strictly speaking, this is false, because again, a hyperbola could have /many/ different orientations and still technically be a hyperbola. It doesn't /in general/ have to be symmetric about the lines y = k or x = h, but it might be symmetric about, say, the line x + y = k + h, if it were rotated 45° relative to the "usual" equation.

Answer 2

thanks

Answer 3

No problem!