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Graphing Parabolas in Standard Form Using Factored Form

Graphing Parabolas in Standard Form Using Factored Form
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2018-12-12 04:42
FunctionCoordinate GeometryGraphing
This example demonstrates how to graph parabolas in standard form using factored form. Key mathematical concepts include parabolas and quadratic equations. Using GeoGebra commands such as Element, Flatten, and Polygon, the construction of the parabola's graph is illustrated. Suitable for high school mathematics education and learning about quadratic equations and parabolas.

GeoGebra Commands & Parameters

  1. Element(questionList, questionListIndex) → questionNum
  2. Element(A2:A11, questionNum) → correctA
  3. Element(B2:B11, questionNum) → correctR1
  4. Element(C2:C11, questionNum) → correctR2
  5. Flatten(Sequence[Sequence[(i, j), i, -11, 11, 0.5], j, -11, 11, 0.5]) → gridSpace
  6. Polygon({(-11, -11), (-11, 11), (11, 11), (11, -11)}) → viewBox
  7. Point(Union[gridSpace, {pointHome}]) → B
  8. Point(Union[gridSpace, {pointHome}]) → C
  9. Point(Union[gridSpace, {pointHome}]) → A
  10. LaTeX(UnicodeToLetter[10007]) → xmark
  11. LaTeX(UnicodeToLetter[10003]) → cmark
  12. LaTeX((((("\text{" * QUESTION) * "\\") * INSTRUCTIONS) * "}")) → TEXT
  13. FitPoly(correctPoints, 2) → gPolyDotted
  14. FitPoly(usersPoints, 2) → gPolySolid
  15. LaTeX(standardForm) → standardEquation