Quadratic Functions - x & y-intercepts

This GeoGebra example dynamically illustrates the x- and y-intercepts of a quadratic function. By adjusting the parameters of the parabola, users can observe how the intersection points with the coordinate axes change in real time. Core mathematical concepts include the standard form of a quadratic function, the discriminant and its relation to real roots, and solving for intercepts algebraically. The construction uses a quadratic function object 'c' and generates points A, B (x-intercepts) and C (y-intercept), allowing interactive exploration. Suitable for middle school to high school students learning quadratic function properties, graphing, and the connection between algebraic expressions and geometric representations.