A hyperbola is a geometric shape consisting of all points where the difference between the distances to two fixed points (foci) is a constant. The foci lie on the transverse axis, which connects the two vertices where the curve turns. Asymptotes are lines the hyperbola approaches but never touches. To graph a hyperbola, identify its foci, vertices, and asymptotes, and be able to write the standard equation given properties of its foci and vertices.

3. Vertices always goes with a Foci always goes with c c 2 = a 2 + b 2 Make sure you can graph any hyperbola, and identify its vertices, foci, and asymptotes Also, be able to write the equation of a hyperbola in standard form given its foci and vertices