Graph Transformations
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This example demonstrates geometric transformations of function graphs, including translations and scalings. Core math concepts involve function graphs, geometric transformations, and coordinate geometry. GeoGebra commands/objects used: a, b, f, g, h, c, p, d, q, text1, text2. Suitable for high school mathematics teaching to understand function graph transformation rules.
GeoGebra Commands & Parameters
Numeric a(1.0)Numeric b(0.0)f(x) = (((x + 1) * (x - 1)) * (x + 3))g(x) = (a * f(x))h(x) = f(x + b)Numeric c(1.0)p(x) = f((c * x))Numeric d(0.0)q(x) = f(x) + d
AI Drawing Prompt Reference
Draw geometric transformations of function graphs, including translations and scalings. First, plot the base function graph, then show the transformed graphs through scaling and translation. Use different colors to distinguish each graph and label key points and transformation parameters to clearly illustrate the transformation rules and coordinate geometry relationships.
The prompt above was compiled from the original drawing commands and is for reference only.