Quadratic Function Graph and Tangent Line

This example demonstrates the graphing of a quadratic function and its tangent line, focusing on key mathematical concepts such as quadratic functions, derivatives, tangent lines, and extrema. The construction utilizes GeoGebra commands like Extremum to find extrema and Intersect to determine intersection points, with objects including parameters a, b, c, function f, extremum point E, and intersection points X_1, X_2. It is suitable for high school mathematics education to illustrate the local properties of function graphs and the geometric meaning of derivatives.