Reflections, Stretches and Compressions of Function Graphs

① This GeoGebra example dynamically demonstrates how function graphs change under reflections, stretches, and compressions, making the geometric effects of transformations visually clear. ② Core mathematical concepts include reflection of function graphs about axes, vertical and horizontal stretching/compression, and the correspondence between these transformations and parameters in the function expression. ③ Construction highlights: based on the construction summary, it uses text fields (Textfield, CasillaDeEntrada1) for user input of function expressions, objects f, pn, g_1, g_2 to define the original and transformed functions, and texto1, text1 for explanatory labels, providing an interactive environment for adjusting parameters and observing changes. ④ Suitable for high school students learning function transformations, as well as for pre-university courses or teacher demonstrations to deepen understanding of the geometric nature of graph transformations.