Practice: Identifying Features of Graphs with Quadratic Functions

This example is designed to help learners identify and summarize the key visual features of graphs, with a focus on quadratic functions, and to compare how graph shapes change when basic graph operations are applied (e.g., combining functions). The main mathematical ideas include the definition of functions, characteristic properties of quadratic graphs (opening direction, axis of symmetry, vertex, intercepts, and overall shape), and graph combination via addition to observe how the resulting graph is affected. In the construction, the provided source summary contains no explicit GeoGebra commands, but the essential build steps can be inferred: define one or more functions to generate curve/graph objects in GeoGebra, use algebraic addition of function expressions to create a combined function (and thus a new curve), and use interactive viewing (such as changing parameters or comparing displayed graphs) to highlight and verify the graph features. Suitable for middle-school to early high-school math practice and for classroom activities on graph interpretation and quadratic-function reasoning.