Vertical Hyperbola Demo by David
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This example demonstrates the geometric definition and standard equation of a vertical hyperbola. Key math concepts include hyperbola, foci, asymptotes, and the effects of parameters a and b on the shape. Construction highlights involve GeoGebra commands for center points h,k, semi-major and semi-minor axes a,b, focal distance c, text elements text1-text3, auxiliary points A,B,C,D, dynamic value d, and locus point E. Suitable for high school coordinate geometry education to understand hyperbola properties and parameter variations.
GeoGebra Commands & Parameters
Numeric h(0)Numeric k(0)Numeric a(2)Numeric b(1)sqrt(a^(2) + b^(2))(y - k)^(2) / b^(2) - (x - h)^(2) / a^(2) = 1(h, k + b)(h, k - b)(h, k + c)(h, k - c)(h, k)