Factored Form of Quadratics

This example demonstrates how changing the roots of a quadratic function graph affects its factored form equation. Core math concepts include quadratic functions, factoring, the relationship between roots and coefficients, and parabola properties. GeoGebra commands used are Point, Extremum, with objects R, S, a, f, A, text1, text2, text3. Suitable for high school students learning quadratic functions and analytical geometry, or for mathematical education demonstrations.