Vertical Hyperbola: Geometric Construction and Graph

This example demonstrates the geometric construction and graph of a vertical hyperbola, where the transverse axis is vertical. The core mathematical concepts involve conic sections, specifically the standard equation of a hyperbola, its foci, vertices, asymptotes, and the relationship between the transverse and conjugate axes. The construction uses GeoGebra commands Point and Segment, creating objects a, b, c, f, g, A, h, B, i, j, k, which likely represent foci, vertices, asymptotes, and auxiliary segments to illustrate the hyperbola's properties. This is suitable for high school or college analytic geometry courses, helping students visualize the definition, characteristics, and parameter effects of a hyperbola.