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Basic Truncus and Translations

Basic Truncus and Translations
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2013-06-28 11:02
FunctionCoordinate GeometryTransformation
This example demonstrates the basic truncus y = 1/x^2 and its translations. Key mathematical concepts include the properties of the hyperbola and translation transformations. Using the Intersect command in GeoGebra, it is easy to draw and analyze the truncus and its translated versions. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Intersect(f, yAxis, (0, 99.99999999999999)) → yint
  2. Intersect(f, xAxis, (146.99999999999795, 0)) → xint
  3. Intersect(f, xAxis, (-4.999999999987949, 0)) → xint1
  4. Intersect(f, yAxis, (0, 99.99999999999999)) → B
  5. Intersect(f, xAxis, (3.1360679775010643, -2.280120536823915E-13)) → xint2

AI Drawing Prompt Reference

Draw the basic graph of the function y = 1/x^2, then translate it 5 units to the right and 5 units to the left. First, find the intersection with the y-axis, then the intersection with the x-axis for the original function, followed by the intersection with the x-axis for the right-shifted function, and finally the intersection with the x-axis for the left-shifted function.
The prompt above was compiled from the original drawing commands and is for reference only.