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Vertical Hyperbola Demo by Danielle Ha

Vertical Hyperbola Demo by Danielle Ha
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2017-04-30 23:05
FunctionCoordinate GeometryGraphing
In collections Conics Investigation
This example demonstrates the geometric shape and parameter variations of vertical hyperbolas. Key math concepts include hyperbola definition, standard equation, focus and asymptote relationships. GeoGebra commands like objects a, b, h, k, c, boo1, boo2, d, H, text1_1, e, C, V1, F1h, V2, F2h, g, f are used in construction. Suitable for high school coordinate geometry teaching and function graphing learning.

GeoGebra Commands & Parameters

  1. Numeric a(2)
  2. Numeric b(3)
  3. Numeric h(-1.05)
  4. Numeric k(1.35)
  5. sqrt(a^(2) + b^(2))
  6. Boolean boo1(false)
  7. Boolean boo2(false)
  8. (y + 3)^(2) / 2^(2) - (x - 2)^(2) / 4^(2) = 1
  9. (y - h)^(2) / a^(2) - (x - k)^(2) / b^(2) = 1
  10. (y + 2)^(2) / 4^(2) - (x - 4)^(2) / 5^(2) = 1
  11. (k, h)
  12. (k, h + a)
  13. (k, h + c)
  14. (k, h - a)
  15. (k, h - c)
  16. y = ((-(a / b)) * (x - k)) + h
  17. y = (a / b * (x - k)) + h