1. Advanced Precalculus Notes 9.4 The Hyperbola Hyperbola: The set of all points in a plane, the difference of whose distances from two distinct fixed points (foci) is a constant. Transverse axis: line containing center and foci. Conjugate axis: line perpendicular to transverse axis, passing through the center.

6. Center: (h, k) Vertices: (h ± a, k)Vertices: (h, k ± a) Foci: (h ± c, k) Foci: (h, k ± c)

7. Graph the hyperbola: Label the center, vertices, foci and asymptotes. Center: Vertices: Foci: Asymptotes:

8. Find an equation of the hyperbola with center at the origin, one focus at (3, 0), and one vertex at (-2, 0).

9. Discuss the equation: Center: Vertices: Foci: Asymptotes:

10. Discuss the equation: Center: Vertices: Foci: Asymptotes:

11. Find an equation for the hyperbola with center at (1, -2), one focus at (4, -2), and one vertex at (3, -2).

12. Suppose that two people standing 1 mile apart both see a flash of lightning. After a period of time, the person standing at point A hears the thunder. One second later, the person standing at point B hears the thunder. If the person at B is due west of the person at A and the lightning strike is known to occur due north of the person standing at point A, where did the lighting strike?

13. Assignment: page 686: 1 – 17, 19, 25, 29, 35, 37, 39, 53, 54, 65