Exploring the Vertex Form of a Quadratic Function

This example demonstrates how students can move around the values of a, h, and k in the vertex form of a quadratic function to make connections about the function's graph. Key math concepts include quadratic functions, vertex form, and function graph transformations. It is constructed using GeoGebra commands and objects like a (coefficient), h (horizontal shift), k (vertical shift), text1 (text annotation), and c (construction aid). Suitable for high school students learning about function graph transformations and quadratic function properties.