Quadratic Equation Solution by Graph

This example demonstrates solving quadratic equations by graphing the corresponding quadratic function. It illustrates the relationship between roots of the equation and intersection points of the function graph. Key mathematical concepts include quadratic functions, function graphs, the connection between equation roots and graph intersections, and tangent lines. GeoGebra commands and objects used in the construction are Intersect, OrthogonalLine, Textfield, and elements like a, b, c, f, g, h, A, B, i, j, C, D, InputBox1, InputBox2, InputBox3, text1, E, F, G. Suitable for high school mathematics education to understand the correlation between functions and equations and methods for solving optimization problems.