Shifts of the Natural Logarithm Function

This example demonstrates the shifts of the natural logarithm function y=ln(x), including vertical and horizontal translations. It involves core math concepts like function transformations, graphing, and analytical geometry. Constructed using GeoGebra objects: sliders a, b, c, d, point g, and texts text1, text2. Suitable for high school students to learn function transformation properties, ideal for classroom instruction or self-study.