All hyperbolas have asymptotes, which are straight lines that form an X that the hyperbola approaches but never touches.

How do you find the asymptotes of a hyperbola?

A hyperbola with a vertical transverse axis and center at (h, k) has one asymptote with equation y = k + (x - h) and the other with equation y = k - (x - h).

Can a hyperbola have no asymptotes?

As given on the Wikipedia page, an asymptote is a line which becomes the tangent of the curve as the x or y cordinates of the curve tends to infinity. Hyperbola has asymptotes but parabolas ( both being an open curve and a conic section) do not.