Quadratic Equations 2: Interactive Vertex and Intercepts

① This GeoGebra example dynamically demonstrates a quadratic function's graph and its key features, including the vertex, x-intercepts, and y-intercept, with input boxes allowing real-time coefficient changes to visualize how the parabola transforms. ② The core mathematical concepts are quadratic functions and equations, covering the parabola's opening direction, axis of symmetry, vertex coordinates, discriminant-root relationships, and solving for intersections with coordinate axes. ③ Construction highlights: three editable input fields (Textfield/InputBox) for coefficients a, b, and c; the Extremum command computes the vertex (Vertex); the Intersect command finds the x-intercepts (xint_1, xint_2) and y-intercept (yint); images pic1 and pic2 are included as visual aids. ④ Suitable for middle and high school students learning quadratic functions and equations, this interactive tool is ideal for classroom demonstrations, self-paced exploration, or building dynamic lesson materials to understand how coefficient changes affect the graph and the geometric meaning of equation roots.