Exploring Parabolas with GeoGebra

This GeoGebra example illustrates how to construct a parabola and investigate its geometric features. It covers the definition of a parabola, quadratic functions, vertex, axis of symmetry, focus and directrix, as well as intersections with lines and trapezoids. By using objects p, q, a, d, and text1, learners can adjust sliders to see how the curve changes with slope and intercept, and view calculations instantly. Designed for high school and early university mathematics, it supports lessons on analytic geometry, function graphing, and mathematical modeling, helping students develop an intuitive grasp of quadratic graphs.