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Function Translations

Function Translations
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2018-07-29 11:41
FunctionCoordinate GeometryTransformation
This example demonstrates function translations. Key mathematical concepts include function translations and image transformations. Using GeoGebra commands such as Textfield, Intersect, and If, the process of translating function graphs dynamically is showcased. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Textfield(f) → InputBox1
  2. Intersect(f, x = 0, 1) → A
  3. Intersect(f_3, x = 0 + h, 1) → B
  4. Intersect(f, x = 1, 1) → C
  5. Intersect(f_3, x = 1 + h, 1) → D
  6. Intersect(f_3, x = 2 + h, 1) → E
  7. Intersect(f, x = 2, 1) → F
  8. Intersect(f, x = 3, 1) → G
  9. Intersect(f_3, x = 3 + h, 1) → H
  10. If(abs(h) > 0 ∨ abs(k) > 0, Vector[G, H]) → a
  11. If(abs(h) > 0 ∨ abs(k) > 0, Vector[F, E]) → w
  12. If(abs(h) > 0 ∨ abs(k) > 0, Vector[C, D]) → u
  13. If(abs(h) > 0 ∨ abs(k) > 0, Vector[A, B]) → v