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Function Translation Demonstration by Peter DeCraene

Function Translation Demonstration by Peter DeCraene
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2014-09-02 03:46
FunctionTransformationGraphing
This applet demonstrates how transformations of the form f(x-h)+k affect the graph and table of values. Key mathematical concepts include function transformations. Construction highlights the use of GeoGebra commands such as OrthogonalLine, Intersect, Segment, and Textfield.

GeoGebra Commands & Parameters

  1. OrthogonalLine(A, yAxis) → b
  2. Intersect(b, yAxis) → C
  3. Segment(A, C) → e
  4. OrthogonalLine(A, xAxis) → a
  5. Intersect(a, xAxis) → B
  6. Segment(B, O) → c
  7. Segment(O, C) → d
  8. Segment(A, B) → i
  9. Textfield(f) → inputBox1

AI Drawing Prompt Reference

Draw a function graph and demonstrate how translation transformations affect it. Start by plotting the coordinate axes, then mark the origin. Draw a line segment from the origin along the positive x-axis and another along the positive y-axis. Find the intersection of a vertical line parallel to the x-axis with the y-axis. Connect the origin to this intersection point and draw a line parallel to the vertical line from the origin. Finally, add a text box next to the graph for entering the function expression.
The prompt above was compiled from the original drawing commands and is for reference only.