Exploring the Line of Symmetry of Quadratic Graphs
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This example demonstrates how to explore the line of symmetry of quadratic function graphs using GeoGebra. Key math concepts include quadratic functions, symmetry axes, vertex coordinates, and coordinate geometry. GeoGebra commands and objects used are: a (coefficients), b (x-coordinate of vertex), c (y-coordinate of vertex), d (axis of symmetry), text1 and text2 (text labels), and e (auxiliary object). Suitable for high school mathematics teaching to understand the properties and symmetry of quadratic function graphs.
GeoGebra Commands & Parameters
Numeric a(1.0)Numeric b(-3.0)Numeric c(5.0)y = a * x^(2) + b * x + cx = (-b) / (2 * a)