Linear Transformations of Reciprocal Functions

① This GeoGebra example dynamically illustrates how linear transformations (translation and scaling) affect the graph of a reciprocal function such as y=1/x, showing the graph shifting and stretching as parameters change. ② Core mathematical concepts include reciprocal functions, linear transformations (translation and dilation), asymptotes, and the relationship between parameters and graph shape/position. ③ Construction details: Based on the summary, LaTeX commands generate function expressions; objects include g (function graph), A (point), sliders a, b, c, d (parameters), f (transformed function), B (point), text1 (label), and h, i (likely auxiliary lines or asymptotes). Sliders enable dynamic parameter adjustment for interactive exploration. ④ Suitable for high school or pre-university students learning function transformations, useful for classroom demonstrations or self-study to understand how parameter changes affect reciprocal function graphs, bridging to hyperbolas and quadratic functions.