Transforming Exponential Functions (Adapted by RH)

This GeoGebra example demonstrates how exponential function graphs change under transformations such as translation, scaling, and reflection. It visually links the algebraic form of the function to its geometric representation, allowing users to explore the effects of varying parameters in real time. Core mathematical concepts include exponential functions, function transformations (horizontal/vertical shifts, stretches, compressions, and reflections), and parameter influence on graph shape. The construction uses the Intersect command to find intersection points between the function and axes or auxiliary lines, with objects c, b, a, text1, f, and A, where f is the exponential function, A serves as a draggable point or parameter control, and text1 displays dynamic values or expressions. Suitable for high school students learning exponential functions and transformations, as well as for teachers demonstrating these concepts in class or for pre-calculus review.