Vertex of a Parabola from Two Points Using Symmetry

This example demonstrates how to find the vertex coordinates of a parabola using its symmetry. The core math concepts involved include parabolas, quadratic functions, and symmetry. Construction highlights: GeoGebra commands/objects used from the 'Construction Summary' are RandomElement, Random, Min, Max, Polynomial, Textfield; objects: lista, a, h, k, f, r, P, Q, V, ymin, ymax, xmin, xmax, g, text1, emptyv, INPV, ANSV, InputBox1, correct, text2, b, c, d, goal, button1, text3, A, B, pic1, text4. Suitable for high school mathematics, for learning and understanding the symmetry of parabolas and their applications.