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Translation using vector notation

Translation using vector notation
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2019-06-16 15:53
VectorFunction
This example demonstrates how to use vector notation to translate function graphs. Key math concepts include vectors, function graphs, and translation transformations. Constructed using GeoGebra commands like Textfield and Vector, and objects such as h, f, k, g, v, etc. Suitable for high school students learning about function translations and deepening their understanding of the concept through vector representation.

GeoGebra Commands & Parameters

  1. Textfield(f) → inputBox1
  2. Vector(B1, (x(B1) + h, y(B1) + k)) → C1
  3. Vector(B2, (x(B2) + h, y(B2) + k)) → C2
  4. Vector(B3, (x(B3) + h, y(B3) + k)) → C3
  5. Vector(B4, (x(B4) + h, y(B4) + k)) → C4
  6. Vector(B5, (x(B5) + h, y(B5) + k)) → C5
  7. Vector(B6, (x(B6) + h, y(B6) + k)) → C6
  8. Vector(B7, (x(B7) + h, y(B7) + k)) → C7
  9. Vector(B8, (x(B8) + h, y(B8) + k)) → C8
  10. Vector(B9, (x(B9) + h, y(B9) + k)) → C9
  11. Vector(B10, (x(B10) + h, y(B10) + k)) → C10
  12. Vector(B11, (x(B11) + h, y(B11) + k)) → C11
  13. Vector(B12, (x(B12) + h, y(B12) + k)) → C12
  14. Vector(B13, (x(B13) + h, y(B13) + k)) → C13
  15. Vector(B14, (x(B14) + h, y(B14) + k)) → C14
  16. Vector(B15, (x(B15) + h, y(B15) + k)) → C15
  17. Vector(B16, (x(B16) + h, y(B16) + k)) → C16
  18. Vector(B17, (x(B17) + h, y(B17) + k)) → C17

AI Drawing Prompt Reference

Draw a function graph and demonstrate translation using vector notation. First, input the function expression, then translate each point along the vector (h, k), where h and k are the coordinates of the translation vector. Observe the changes in the function graph to understand the concept of translation.
The prompt above was compiled from the original drawing commands and is for reference only.