Square Root Hannah: Exploring Quadratic Functions with Geometry and Statistics

This GeoGebra example, titled 'Square Root Hannah', demonstrates an integrated mathematical exploration combining quadratic function graphs with quadrilaterals, probability, and boxplot statistics. The core concepts involve the vertex, zeros, and y-intercept of a quadratic function, along with the effect of square root transformations on the graph. Construction details: using GeoGebra commands, objects a, b, h, k, and f are defined, where f represents the quadratic function. Key points such as Vertex, Zero, and Yintercept are marked, and text labels (text1, text2, text3) are generated to annotate these features. This resource is suitable for middle and high school mathematics, serving as a cross-topic review or inquiry-based activity to help students connect function properties with geometric shapes and statistical representations.