Hyperbola Demo by Sara Liesman
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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
Numeric h(0.8)Numeric a(1.5)Numeric k(-0.5)Numeric b(1.5)(x - h)^(2) / a^(2) - (y - k)^(2) / b^(2) = 1(y - k)^(2) / a^(2) - (x - h)^(2) / b^(2) = 1Point A(-7.22, 0.96)Point B(-2.67, 0.95)Point C(-6.58, 0.44)Point D(-2.12, 0.42)Boolean e(false)Boolean f(false)