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Translations of f(x)=1/x

Translations of f(x)=1/x
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2013-10-14 04:40
FunctionCoordinate GeometryTransformation
In collections quads parabolas
This example demonstrates the translations of the function f(x)=1/x and its transformed graphs. Key math concepts include function graph translation, hyperbola properties, and geometric transformations. Constructed using GeoGebra commands like Vector, Translate, and objects such as c, d, u, v, button1, e, f, f_1, f_2, g, b, button2, speed, text1. Suitable for high school students learning about function transformations and translation principles.

GeoGebra Commands & Parameters

  1. Vector((c, 0)) → u
  2. Vector((0, d)) → v
  3. Translate(f, u) → f_1
  4. Translate(f, v) → f_2
  5. Translate(f_2, u) → g

AI Drawing Prompt Reference

Draw the graph of the function f(x)=1/x and its translations. First, create two vectors u and v to translate f(x) along the x-axis and y-axis, resulting in f_1(x) and f_2(x). Then, translate f_2(x) again using vector u to obtain g(x).
The prompt above was compiled from the original drawing commands and is for reference only.