Interactive Quadratic Equation Graphing and Analysis

This example demonstrates graphing quadratic functions y=ax²+bx+c and analyzing their properties. Users input coefficients a, b, and c to generate the parabola, with real-time display of vertex coordinates (h,k) and discriminant Δ values. Key mathematical concepts include converting between standard and vertex forms, understanding parabola opening direction and width, the relationship between discriminant and roots, and finding maximum/minimum values. Construction uses Coefficients command to extract coefficients, InputBox for parameter input, If conditions for answer verification, and Textfield to display computed results (vertex, discriminant, x-intercepts). Buttons enable self-testing. Suitable for high school mathematics, ideal for classroom demonstrations or exam practice in quadratic functions units, helping students visualize the connection between algebraic solutions and graphical representations.