Graphing Log Dilations
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This example demonstrates the effect of dilation transformations on logarithmic function graphs in the coordinate plane. Key math concepts include logarithmic functions, dilation transformations, and geometric transformations. Construction highlights involve Geogebra commands/objects: a, b, A, c, f, B, C, text1, where a, b, c are parameters, A, B, C are points, f is a function, and text1 is a text label. Suitable for high school students learning function transformations, helping them understand the rules and properties of function graph transformations.
GeoGebra Commands & Parameters
Numeric a(1)Numeric b(2)(1 / b, 0)Numeric c(2)f(x) = (a * log(c, (b * x)))(c / b, a)(1 / ((b * c)), (-a))