Graph Quadratic Functions Using a Table of Values

This example demonstrates how to graph a quadratic function y=ax²+bx+c by generating a table of values. It shows the process of inputting x-values, computing corresponding y-values, and plotting the points to form the parabola. Core mathematical concepts include the standard form of a quadratic function, the axis of symmetry, the vertex, and the construction of a value table. The construction uses GeoGebra commands such as Textfield and inputBox to create interactive input fields for coefficients a, b, and c, a button (button1) to trigger calculations, a list (list1) to store points, and multiple point objects (A1-A6, B1-B6) to plot the graph. This resource is suitable for middle and high school students learning quadratic functions, as well as for teachers demonstrating how coefficient changes affect the parabola's shape.