Hyperbolas

Example 5

Graph the following equation.

Step 1 . Identify the properties of the conic.

This hyperbola has its center at (0, 0). The transverse axis is the line y = -x. The asymptotes are the x- and y-axes. The vertices are at (?4, -?4) and (-?4, ?4) or (2, -2) and (-2, 2).

Step 2 . Graph the conic.