Exploring Quadratic Functions

This example demonstrates the graphical properties of quadratic functions, including vertices, foci, and axis of symmetry. Key mathematical concepts involved include the definition of quadratic functions, the shape and symmetry of their graphs. The construction involves using GeoGebra commands Intersect to find the intersection points of quadratic functions, and using objects a, b, C, f, g, h, eq1, A, B, D, E, k, m, p to construct the graph. Suitable for teaching quadratic functions and graph analysis in middle school, high school, and university mathematics.