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Quadratic Functions Practice

Quadratic Functions Practice
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2020-11-14 04:06
FunctionCoordinate GeometryProbability & Statistics
This practice helps students solve quadratic equations, find the vertex, and use the discriminant. Randomly generated questions allow students to practice the basic properties of quadratic functions. Commands like Textfield, Random, RandomElement, Remove are used in the construction summary to help students understand the graph and properties of quadratic functions. Suitable for middle and high school math education.

GeoGebra Commands & Parameters

  1. Textfield(q3stxv) → InputBox3
  2. Random(1, 8) → kK
  3. Random(1, 3) → q3ran
  4. Textfield(q3styvt) → InputBox4
  5. RandomElement(r1list) → r1
  6. Remove(r1list, {r1}) → r2list
  7. RandomElement(r2list) → r2
  8. RandomElement(alist) → aA
  9. Expand((aA * (x - r1)^(2)) + kK) → f4
  10. Expand((-f4(x))) → g4
  11. If(aA ≟ 1, ((x - r1) * (x - r2)), ((aA * (x - r1)) * (x - r2))) → f1
  12. If(q3ran ≟ 1, f1, If[q3ran ≟ 2, f4, g4]) → q3f
  13. Extremum(q3f) → Q3VTX
  14. AreEqual(InputBox3, q3ansx) → corrq3a
  15. AreEqual(InputBox4, q3ansy) → corrq3b
  16. Textfield(q2stx2) → InputBox2
  17. Random(-20, -1) → extrac
  18. Random(1, 3) → q2ran
  19. Textfield(q2stx1) → InputBox1
  20. Expand(f1) → f2
  21. Simplify(f2(x) + extrac) → f3
  22. Expand((-f3(x))) → g3
  23. If(q2ran ≟ 1, f2, If[q2ran ≟ 2, f3, g3]) → q2f
  24. Coefficients(q2f) → q2coeflist
  25. Element(q2coeflist, 1) → q2aA
  26. Element(q2coeflist, 2) → q2bB
  27. Element(q2coeflist, 3) → q2cC
  28. Expand((aA * (x - r1)^(2))) → f5
  29. Random(1, 6) → q1ran
  30. If(question ≟ 1 ∨ question ≟ 2, 1, If[question ≟ 3 ∨ question ≟ 5, 2, 3]) → qQ
  31. If(q1ran ≟ 1, f2, If[q1ran ≟ 2, f3, If[q1ran ≟ 3, g3, If[q1ran ≟ 4, f4, If[q1ran ≟ 5, g4, f5]]]]) → q1f
  32. SelectedElement(q1droplist) → stansq1
  33. If(q1ran ≟ 6, 1, If[q1ran ≟ 4 ∨ q1ran ≟ 5, 0, 2]) → ansq1
  34. Coefficients(q1f) → q1coefflist
  35. Element(q1coefflist, 1) → q1aA
  36. Element(q1coefflist, 2) → q1bB
  37. Element(q1coefflist, 3) → q1cC
  38. If(ansq1 ≟ 0, "<0", If[ansq1 ≟ 1, "=0", ">0"]) → solq1txta
  39. If(aA ≟ 1, "", Text[aA]) → aAtxtif
  40. Coefficients(q3f) → q3coefflist
  41. Element(q3coefflist, 1) → q3aA
  42. Element(q3coefflist, 2) → q3bB
  43. Element(q3coefflist, 3) → q3cC
  44. Factor(q2f) → q2fsol

AI Drawing Prompt Reference

Create an interactive coordinate plane for quadratic function practice. Randomly generate three types of problems: one asks to determine the sign of the discriminant (positive, zero, or negative), another asks to factor a quadratic expression, and the third asks to find the vertex coordinates. Each problem has an input box for student answers. Display the corresponding parabola on the graph, marking the vertex. All functions are generated from random roots and coefficients, ensuring each practice session is unique.
The prompt above was compiled from the original drawing commands and is for reference only.