The general equation of a conic section is
In the problems that we have been looking at, E=0. In this case the axes of the conic section are horizontal and/or vertical. The graph can be determined by ``completing the squares'' of the x and y. The graph may be degenerate (empty, a single point, a line, or a pair of crossing lines). If the graph is not degenerate, then we can tell what curve we will have: