Hyperbola Demo by Sara Liesman

Hyperbola Demo by Sara Liesman
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2016-03-11 19:09
This example demonstrates the basic shape and dynamic properties of a hyperbola. Key math concepts include the definition, standard equation, central symmetry, and the relationship between parameters a, b, and c. Construction highlights involve GeoGebra objects like h (hyperbola), a (real axis semi-length), k (center position), b (imaginary axis semi-length), c (focal distance), d (direction control), A/B (auxiliary points), pic1/pic2 (image display), C/D (foci), and e/f (parameters). Suitable for high school coordinate geometry teaching to visually understand hyperbola properties and parameter effects.

GeoGebra Commands & Parameters

  1. Numeric h(0.8)
  2. Numeric a(1.5)
  3. Numeric k(-0.5)
  4. Numeric b(1.5)
  5. (x - h)^(2) / a^(2) - (y - k)^(2) / b^(2) = 1
  6. (y - k)^(2) / a^(2) - (x - h)^(2) / b^(2) = 1
  7. Point A(-7.22, 0.96)
  8. Point B(-2.67, 0.95)
  9. Point C(-6.58, 0.44)
  10. Point D(-2.12, 0.42)
  11. Boolean e(false)
  12. Boolean f(false)