Transformations of the Parabola: Effect of k

① This example demonstrates how the parameter k vertically translates the basic parabola y = x². ② Core concepts include quadratic function graphs, function transformations, and coordinate geometry. ③ Construction uses Point, Slider (k), and Text objects; the Point command creates vertices and key points while the slider dynamically updates the curve and coordinate labels. ④ Suitable for high‑school function and graphing lessons, as well as college‑prep review or self‑study exploration.