Practice Transformations Parameters: Interactive Function & Vector Transformatio

Practice Transformations Parameters: Interactive Function & Vector Transformatio
Loading the math board and drawing, please wait…
2020-11-23 13:48
In collections Grade 12 PreCalculus BC
This GeoGebra example is an interactive drill for practicing transformation parameters of functions and vectors. It randomly generates functions (including linear and trigonometric) with transformation parameters (shifts, stretches, reflections) and asks the user to input the correct parameter values into text fields, with automatic validation and scoring. Core mathematical concepts include function graph transformations (translation, scaling, reflection) and parameter representation of 2D/3D vectors. Construction highlights: Random and RandomElement commands generate parameter lists (alist, blist, etc.), If/Min/Max control ranges, Textfield and InputBox create input fields, AreEqual checks answers, and screen objects (screen, score, att) provide interactive feedback. Suitable for high school or early college students to self-practice function transformations, and useful for teachers as a classroom demonstration or quiz tool.

GeoGebra Commands & Parameters

  1. Random(-10, 10) → d
  2. RandomElement(alist) → a
  3. If(qQ ≟ 4, 0, d) → dD
  4. If(qQ ≟ 1 ∨ qQ ≟ 3, 1, a) → aA
  5. Random(-5, 8) → c
  6. If(qQ ≟ 2 ∨ qQ ≟ 3 ∨ qQ ≟ 4, 0, c) → cC
  7. RandomElement(blist) → b
  8. If(qQ ≟ 1 ∨ qQ ≟ 2 ∨ qQ ≟ 5, 1, If[qQ ≟ 6, abs(b), b]) → bB
  9. If(bB > 0, -2 / bB + cC, 6 / bB + cC) → domleft
  10. If(bB > 0, 6 / bB + cC, -2 / bB + cC) → domright
  11. If(dD < 0, (-2 * abs(aA)) + dD - 5, (-2 * abs(aA)) - 5) → ymin1
  12. If(dD < 0, (2 * abs(aA)) + 3, (2 * abs(aA)) + dD + 3) → ymax
  13. Min({domleft - 2, -5}) → xmin
  14. Max({domright + 2, 8}) → xmax
  15. Textfield(sta) → InputBox1
  16. Textfield(stb) → InputBox2
  17. Textfield(stc) → InputBox3
  18. Textfield(std) → InputBox4
  19. AreEqual(InputBox1, aA) → corra
  20. AreEqual(InputBox2, bB) → corrb
  21. AreEqual(InputBox3, cC) → corrc
  22. AreEqual(InputBox4, dD) → corrd
  23. If(qQ ≟ 1, q1text, If[qQ ≟ 2, q2text, If[qQ ≟ 3, q3text, If[qQ ≟ 4, q4text, If[qQ ≟ 5, q5text, q6text]]]]) → qtext

AI Drawing Prompt Reference

Draw a function graph with transformations including translation, scaling, and reflection, featuring both a linear function and a trigonometric function. Input the transformation parameters: translation a, scaling factor b, reflection direction c, and overall translation d. The graph will update automatically based on your input to verify the correctness of the parameters.
The prompt above was compiled from the original drawing commands and is for reference only.