Cube Root Function y = a*f(x) Example
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This example demonstrates the transformation rules of the cube root function y = a*f(x). It involves core mathematical concepts such as cube root operations, function translation and scaling transformations, and function graph symmetry. The construction uses GeoGebra commands for objects f, a, and g. It is suitable for high school mathematics teaching to understand function transformations and parameter effects.
GeoGebra Commands & Parameters
f: y = nroot(x,3)Numeric a(2)g(x) = (a * f(x))
AI Drawing Prompt Reference
Draw the cube root function y = nroot(x,3), then scale it vertically by a factor of 2 to get the new function y = 2 * nroot(x,3), demonstrating function transformations and scaling effects.
The prompt above was compiled from the original drawing commands and is for reference only.