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Effect of Adding a Constant to a Cubic Function

Effect of Adding a Constant to a Cubic Function
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2014-09-29 19:49
FunctionCoordinate GeometryTransformation
This interactive example demonstrates the effect of adding a constant to a cubic function on the function, its graph, and its roots. Key concepts include cubic functions and function graph transformations. It uses GeoGebra commands such as Intersect. Suitable for high school mathematics education.

GeoGebra Commands & Parameters

  1. Intersect(f, xAxis) → A, B, C
  2. Intersect(g, xAxis) → D, E, F

AI Drawing Prompt Reference

Draw a cubic function f(x) = x^3 and show its x-axis intersections A, B, C. Then modify the function to g(x) = x^3 + 2 and show the new x-axis intersections D, E, F. Observe and compare the changes in the graphs and roots of the two functions.
The prompt above was compiled from the original drawing commands and is for reference only.