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Reciprocal of Parabola

Reciprocal of Parabola
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2014-02-19 18:34
FunctionCoordinate GeometryCalculus
This example demonstrates the reciprocal graph of any parabola. Key mathematical concepts include parabolas and their reciprocal functions. Using GeoGebra commands such as Root, Extremum, and Intersect, you can plot any parabola of the form f(x) = ax^2+bx+c and its reciprocal g(x) = 1/f(x). Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Root(f) → xint1, xint2
  2. Extremum(f) → TP
  3. Intersect(f, yAxis, 1) → yint

AI Drawing Prompt Reference

Draw a parabola opening upwards and then its reciprocal graph. First, find the points where the parabola intersects the x-axis, then locate the vertex of the parabola, and finally determine the point where the parabola intersects the y-axis.
The prompt above was compiled from the original drawing commands and is for reference only.