Graphing Quadratic Functions by MathGroup
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This example demonstrates how to graph quadratic functions y=ax²+bx+c by varying parameters a, b, c and observing the changes in the graph. Key math concepts include quadratic functions, vertex, axis of symmetry, direction of opening, and graph transformations. GeoGebra commands used: objects a, b, c, text1_1, ac, e, d_1, ac_1, text1_1, text1, d_2, ac_2, d_3, ac_3, text1_2, 文字1. Suitable for high school students to learn and understand the properties of quadratic function graphs and the effects of parameters, also useful for classroom demonstrations.
GeoGebra Commands & Parameters
Numeric a(2.0)Numeric b(0.0)Numeric c(0.0)y = (a * x^(2)) + (b * x) + c(a * c)b^(2) - (4 * ac)y = (a * x^(2)) + (b * x) + c(a * c)y = (a * x^(2)) + (b * x) + c(a * c)y = (a * x^(2)) + (b * x) + c(a * c)