MathPlotAI Logo MathPlotAI

Transformation Parameters Quiz

Transformation Parameters Quiz
Loading the math board and drawing, please wait…
2020-11-27 16:11
VectorFunctionTransformationParametric EquationSlider Animation
In collections Grade 12 PreCalculus BC
This example tests students' understanding of graphical transformations through parameter changes. Key mathematical concepts include function graph transformations, vectors, and parametric equations. Using GeoGebra commands such as Random, RandomElement, and If, students can dynamically observe how parameter changes affect the graph.

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, corrc ∧ corrd, If[qQ ≟ 2, corra ∧ corrd, If[qQ ≟ 3, corrb ∧ corrd, If[qQ ≟ 4, corra ∧ corrb, If[qQ ≟ 5, corra ∧ corrc ∧ corrd, corra ∧ corrb ∧ corrc ∧ corrd]]]]) → corr
  24. 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

Create an interactive quiz interface for testing function graph transformations. A random function is generated with hidden parameters for amplitude, period, vertical shift, and horizontal shift, and its graph is displayed on a coordinate plane. Four input boxes are provided for the student to enter their guesses for these parameters. The system checks each input against the true values and gives feedback on correctness. The graph dynamically adjusts as parameters change, with the coordinate axes automatically rescaled to fit the function's domain and range. The question type randomly switches among different transformation combinations (e.g., only shift, only stretch), each accompanied by a text prompt.
The prompt above was compiled from the original drawing commands and is for reference only.