Alg2 lesson 8-5

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Alg2 lesson 8-5

  1. 1. asymptotes Hyperbola Conjugate axis Vertices and foci lie on the Transverse axis Transverse axisfocus focus vertex
  2. 2. transverse axisConjugate axis Transverse axis conjugate axis
  3. 3. b a2 + b2 = c2c a
  4. 4. Write an equation for the hyperbola. Transverse axis a=2 c=4 a c
  5. 5. 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
  6. 6. Vertices: (2, 0) and (-2, 0)Foci: 4 1 a2 b2Asymptotes Center: (0, 0)a=2b=1 bc2 = a2 + b2 ac2 = 4 + 1c= √5
  7. 7. 1 1
  8. 8. 1 1Center: (-3, 5)a=1Vertices: (-2, 5) and (-4, 5)b=1c2 = a 2 + b2c2 = 1 2 + 12 Asymptotes: y = x + 8c2 = 2 y = -x + 2c= Foci:

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