Geometric Transformation of Polynomial Functions

This GeoGebra example demonstrates plotting polynomial function graphs in the Cartesian coordinate plane and performing geometric transformations (mirror transformations) on them. Core mathematical concepts include polynomial function equations, graph characteristics, and geometric transformation principles. Construction details: Based on the construction summary, use Point command to define key points (A, O), Segment command to draw line segments showing geometric relationships, Mirror command to reflect the function graph or related figures, parameters a, n, k, h control polynomial coefficients and transformation degrees, and text1 provides labels. Suitable for upper secondary and early university students, ideal for teaching function graphs, demonstrating geometric transformations, or exploring parameter effects.