Alg2 lesson 8-5

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

2. transverse axis Conjugate axis Transverse axis conjugate axis

4. b a2 + b2 = c2 c a

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

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

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

8. 1 1

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

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