Effect of Parameter a on Parabola y=x²

This example demonstrates how the coefficient a transforms the basic parabola y = x², showing vertical stretching, compression, and reflection. Core concepts include quadratic function graphs, parameter transformations, vertex movement, and changes in opening direction and width. Construction uses the Point command to create parameter points a, c and series of points A1‑A5, B1‑B5, together with a slider controlling a to dynamically generate the corresponding parabola and coordinate labels. Suitable for high‑school mathematics lessons on functions and graphs, self‑guided exploration, or exam review.