Square Root Functions Anatomy (Part 2)

① This GeoGebra example dynamically illustrates the anatomy of the square root function y = a√(x - h) + k, focusing on how parameters a, h, and k affect the graph's shape and position, with auxiliary elements like slopes and intercepts. ② Core mathematical concepts include domain and range of square root functions, horizontal and vertical translations, vertical stretching/compression, and algebraic relationships such as intersections with lines and slope calculations. ③ Construction details: from the summary, commands such as Point, Line, Vector, Polygon, RotateText, and Segment are used, creating objects k, h, i, B, A, run, C, D, f, rise, a, u, text2, text1, t1, b, a_1, c, text3, d, e, h_{1}, v, w, j, l, text5, text6, m, g, text4, text7, text8, which include parameter sliders, the function curve, auxiliary segments, and text labels to visualize parameter changes. ④ Suitable for high school algebra or function units, and also useful for pre-calculus introductions, helping students intuitively grasp the geometric features and parameter significance of radical functions.