Quadratic Function Examples with Geometric Constructions

① This GeoGebra example demonstrates quadratic functions and their graphs, while integrating equilateral triangles, tangent functions, integrals, and pyramids to show the interconnection between algebra and geometry. ② Core mathematical concepts include the standard form of quadratic equations, parabola vertex and axis of symmetry, properties of equilateral triangles, tangent slopes (derivatives), definite integrals (areas), and volumes of pyramids in solid geometry. ③ Construction highlights: based on the summary, objects c, d, e, f, g, h, a, b, i, j, k, l are used, likely involving function plotting, geometric construction (e.g., equilateral triangles), tangent tools, integral commands, and 3D pyramid construction, showcasing GeoGebra's multi-module integration. ④ Suitable for high school or pre-university students to explore the connections between quadratic functions, geometry, and calculus, and also useful for teachers as a classroom demonstration or for student self-study.