Horizontal Translation of a Graph by Mark Willis (2)

This example demonstrates how to horizontally translate the graph of a function f(x) by changing the parameter h to obtain the graph of the new function g(x) = f(x-h). Key mathematical concepts include function transformations, horizontal translations, and the geometric meaning of function graphs. Construction highlights the use of GeoGebra commands such as Point (to create points), LaTeX (for text formatting), and objects like f (original function), text1 (text annotations), h (translation parameter), g (translated function), text2 (text annotations), P' (translated point), P (original point), text3 (text annotations), text4 (text annotations), a (parameter), and text5 (text annotations). Suitable for high school students learning about function transformations and analytical geometry.