Tangents and Rotations on Quadratic Function Graphs

This GeoGebra example dynamically shows tangent lines on quadratic function graphs and their rotation transformations. Core concepts include quadratic functions, function graphs, tangents, geometric rotations, and introductory calculus. Construction uses commands Intersect, Line, Segment, Point, Polygon, Angle, Rotate with objects a, c, C, f, D, F, sCD, sDF, E, sDE, b, A, g, P, sPD, sPE, sPF, plPDE, e, p, d, plPDF, f_1, p_1, d_1, PL, PR, button1, Bool, button2, α, β, h, B, O, G, sOG, G2, sOG2, G3 to create points, segments, polygons, angles and rotations. Suitable for high school math teaching on functions and transformations or self-exploration.