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Graphing Quadratic Inequalities by KruPongsak Wuttisant _TH

Graphing Quadratic Inequalities by KruPongsak Wuttisant _TH
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2018-08-21 22:24
FunctionCoordinate GeometryInequality
This example demonstrates how to graph quadratic inequalities using GeoGebra. Key mathematical concepts include quadratic functions and inequalities. Commands used include Random, RandomElement, If, FractionText, Vector, Segment, etc. Suitable for middle and high school students to learn about quadratic function graphs and properties.

GeoGebra Commands & Parameters

  1. Random(1, 4) → j
  2. Random(1, 4) → i
  3. RandomElement(L_4) → d
  4. RandomElement(L_3) → c
  5. RandomElement(L_2) → b
  6. If(f > 0, "+" + f, "" + f) → text3
  7. RandomElement(L_1) → a
  8. If(e ≟ 1, "+x", If[e ≟ -1, "-x", If[e > 1, "+" + e + "x", e + "x"]]) → text2
  9. If(ac ≟ 1, "x^2", ac + "x^2") → text1
  10. If(g > h, g, h) → m
  11. If(g > h, h, g) → n
  12. FractionText(n) → text9
  13. FractionText(m) → text10
  14. If(j ≟ 1, j1, If[j ≟ 2, j2, If[j ≟ 3, j3, j4]]) → jot
  15. If(j ≟ 1, t1, If[j ≟ 2, t2, If[j ≟ 3, t3, t4]]) → to
  16. If(j ≟ 1, t2, If[j ≟ 2, t3, If[j ≟ 3, t4, t1]]) → to1
  17. If(j ≟ 1, t3, If[j ≟ 2, t4, If[j ≟ 3, t1, t2]]) → to2
  18. If(j ≟ 1, t4, If[j ≟ 2, t1, If[j ≟ 3, t2, t3]]) → to3
  19. If(i ≟ 1, "A", If[i ≟ 2, "B", If[i ≟ 3, "C", "D"]]) → text26
  20. If(l ≟ 1, "A", If[l ≟ 2, "B", If[l ≟ 3, "C", "D"]]) → text27
  21. If(l ≟ i, "ข้อ\;" + text27 + "\;ถูกต้อง", "ข้อ\;" + text27 + "\;ผิด") → text28
  22. If(a ≟ 1, "(x", "(" + a + "x") → t11
  23. If(b > 0, "+" + b + ")", b + ")") → t12
  24. If(c ≟ 1, "(x", "(" + c + "x") → t21
  25. If(d > 0, "+" + d + ")", d + ")") → t22
  26. If(j ≟ 1, "< 0", If[j ≟ 2, "≤0", If[j ≟ 3, ">0", "≥0"]]) → sig
  27. Vector(A, B) → u
  28. Vector(C, D) → v
  29. Segment(A, C) → t