Angry Birds and Quadratic Equations

This example demonstrates how adjusting the parameters a, h, and k in the quadratic function f(x) = a (x-h)² + k affects its graph. Key math concepts include properties of quadratic functions, vertex, axis of symmetry, and the impact of parameters on the graph. GeoGebra commands/objects used in construction: Root, Random, points Z_1, Z_2, loop variable i, function g, parameter q, images pic1, pic2, points/objects p, t, P, S, B, d, e, V, c, texts text1, text2, objects A, D, images pic3_1, pic3_2, button button3, object r, text text3, object b. Suitable for high school students learning quadratic functions and their transformations, ideal for classroom demonstrations and interactive exploration.