Exploring Transformations of Exponential Functions

① This example uses sliders to dynamically demonstrate how the exponential function y = a·b^(x-h) + k transforms through translations, stretches, and reflections, showing the impact of each parameter on the graph. ② Core math concepts include exponential functions, horizontal and vertical shifts, scaling via base b and coefficient a, and symmetry transformations, along with changes in domain, range, and asymptotes. ③ Construction: GeoGebra sliders a, h, k, b control the function parameters; the function f is defined, and point ZP and text1 display the current expression or key coordinates, allowing real-time exploration by dragging sliders. ④ Suitable for high school students learning exponential function properties and transformations, as well as for teacher demonstrations or student self-study to understand how parameters affect the graph.