1. Hyperbola asymptotes Vertices and foci lie on the Transverse axis Conjugate axis Transverse axis focus focus vertex

2. transverse axis Conjugate axis Transverse axis conjugate axis

4. b a2 + b2 = c2 a c

5. Write an equation for the hyperbola. Transverse axis a = 2 c = 4 a c Example 5-1a

6. Write an equation for the hyperbola. Transverse axis a = 3 c = 4 c a c2 = a2 + b2 42 = 32 + b2 16 = 9 + b2 7 = b2 Example 5-1b

7. Vertices: (2, 0) and (-2, 0) Foci: Asymptotes 4 1 a2b2 Center: (0, 0) a = 2 b = 1 c2 = a2 + b2 c2 = 4 + 1 c = √ 5 b a Example 5-3a

8. 1 1 Example 5-4a

9. Center: (-3, 5) a = 1 Vertices: (-2, 5) and (-4, 5) b = 1 c2 = a2 + b2 c2 = 12 + 12 c2 = 2 c = 1 1 Asymptotes: y = x + 8 y = -x + 2 Foci: Example 5-4a