Exploring Quadratic Functions by Michelle Ledford
Loading the math board and drawing, please wait…
This example demonstrates the graph of quadratic functions and their key features (vertex, axis of symmetry, x-intercepts). It involves core math concepts: quadratic functions, symmetry, derivatives, integrals, and tangent lines. Construction highlights include using GeoGebra objects a, b, c for the function definition, x1, y1 for special points, M for the tangent point, g as an auxiliary line, and text1, text2, text3 for displaying calculations, with d, e for parameter adjustments. Suitable for high school mathematics teaching to understand quadratic function properties and calculus applications.
GeoGebra Commands & Parameters
Numeric a(1.0)Numeric b(3.0)Numeric c(-3.0)f(x) = (a * x^(2)) + (b * x) + c((-b)) / ((2 * a))f(x1)(x1, y1)x = x1Boolean d(true)Boolean e(true)