Matching Quadratic Functions in Vertex Form by Thomas Gebbie

This interactive GeoGebra example is a matching exercise where students are asked to pair quadratic functions written in vertex form (y = a(x-h)^2 + k) with their corresponding graphical descriptions. The activity focuses on reinforcing the connection between the algebraic expression and the key features of the parabola, such as the vertex, axis of symmetry, direction of opening, and vertical/horizontal shifts. Core mathematical concepts include the vertex form of a quadratic function, transformations of graphs, the role of the coefficient 'a' in determining concavity, and the geometric meaning of the vertex coordinates (h, k). In terms of construction, the example utilizes GeoGebra commands such as Textfield and Polygon, creating function objects f and g, along with numerous auxiliary objects (a, b, c, d, e, h, i, j, etc.), and interactive input boxes (inputBox1, inputBox2) to allow student responses. A polygon (poly1) is also used to provide visual scaffolding. This resource is suitable for middle or high school students learning quadratic functions, and can be used as an in-class interactive activity, homework, or self-assessment tool to strengthen conceptual understanding.