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Horizontal Translation by Michael Bailey

Horizontal Translation by Michael Bailey
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2015-10-03 00:39
FunctionCoordinate GeometryTransformation
This example demonstrates horizontal translation of function graphs. Key mathematical concepts include function transformation and vectors. Using GeoGebra commands like CurveCartesian, Point, and Vector, the effect of translation is visually illustrated. Suitable for high school mathematics education, particularly in coordinate geometry and function transformation.

GeoGebra Commands & Parameters

  1. CurveCartesian(t, abs(t), t, -6, 6) → f3
  2. Point(f3) → I
  3. Vector(I, J) → h_1
  4. Point(f3) → K
  5. Vector(K, L) → i

AI Drawing Prompt Reference

Draw the graph of the function y=|x|, then translate it 6 units to the right along the x-axis, mark a point on the translated graph, and draw the vector from the original graph to the translated graph.
The prompt above was compiled from the original drawing commands and is for reference only.