Horizontal Translations of the Square Root Graph

This example demonstrates how the graph of the square root function y = √x is horizontally translated when the parameter h in y = √(x - h) changes. It visually shows the shift of the curve along the x-axis, reinforcing the concept of function transformations. Core mathematical concepts include horizontal translation, function notation, and domain shifts. The construction uses GeoGebra objects such as functions f and g to represent the original and translated graphs, a slider h to control the translation amount, and text objects (text1, text1_1, text2, text3) to display expressions or annotations. This is suitable for middle or high school students learning function transformations, and can be used for classroom demonstrations or self-guided exploration to understand the 'left add, right subtract' rule and its effect on the domain of the square root function.