Generating a Parabola from Two Linear Functions

① This example dynamically generates a parabola as the product of two linear functions, visually demonstrating the algebraic relationship between linear and quadratic functions. ② Core mathematical concepts include linear functions, quadratic functions (parabolas), function multiplication, factorization and zeros, as well as intersections and symmetry of graphs. ③ Construction highlights: Using GeoGebra objects a, b, c, d (likely parameters or points), define linear functions f and g, then construct their product function h = f * g; by dragging sliders or points to change slopes and intercepts, observe how the parabola's vertex, opening direction, and x-intercepts change. ④ Suitable for high school students learning quadratic functions or function transformations, and for pre-calculus exploration, helping learners build an intuitive bridge from linear to nonlinear behavior.