This document discusses how to graph, recognize, and write the equation of a hyperbola. It explains that a hyperbola is formed when the coefficients of x2 and y2 have different signs. It also notes that hyperbolas only intersect one set of axes and that the signs of the coefficients determine which axis the intercepts lie on. The document provides examples of writing equations of hyperbolas in standard form and finding the asymptotes and transverse axis to graph hyperbolas.