绘制二次函数的绝对值图像

GeoGebra 命令及参数

1. Flatten(Sequence[Sequence[(i, j), i, -10, 10], j, 0, 10]) → GridSpace
2. Sequence((12, i), i, 2, 6, 2) → homeSpace
3. Point(Union[GridSpace, {Element[homeSpace, 1]}]) → P_1
4. Point(Union[GridSpace, {Element[homeSpace, 2]}]) → P_2
5. Point(Union[GridSpace, {Element[homeSpace, 3]}]) → P_3
6. Random(-10, 4) → Root1
7. Random(1, floor(maxAval)) → aVal
8. Expand(((aVal * (x - Root1)) * (x - Root2))) → f
9. UnicodeToLetter(10007) → xmark
10. UnicodeToLetter(10003) → cmark
11. Polygon({bottomLeft, (x(bottomLeft), y(topRight)), topRight, (x(topRight), y(bottomLeft))}) → viewbox
12. Point(Union[GridSpace, homeSpace]) → ActivePoint
13. LaTeX(ActivePoint) → activePtLbl
14. LaTeX(Expand[f]) → Lblf
15. LaTeX((("\text{Consider \(y=" * Lblf) * "\). Factoring, we get:}")) → fbLine2
16. LaTeX((("\text{\(" * Factor[f]) * "\)}")) → fbLine4
17. LaTeX(((("\text{\(" * Lblf) * "=") * If[aVal ≠ 1, (((((("" * aVal) * "(") * Expand[((x - Root1) * (x - Root2))]) * ")\)\\\phantom{") * Lblf) * "}="), "\)}"])) → fbLine3
18. LaTeX((("\text{From this factored form, we conclude that the \\graph of \(y=" * f) * "\):}")) → fbLine5
19. UnicodeToLetter(8226) → bullet
20. LaTeX((((((("\text{\hphantom{12}" * bullet) * " has zeros \(") * Root1) * "\) and \(") * Root2) * "\),\\}")) → fbLine6
21. LaTeX((((("\text{\hphantom{12}" * bullet) * " has axis of symmetry \(x =") * xCoordVertex) * "\), and}")) → fbLine7
22. LaTeX((("(" * xCoordVertex) * ")")) → subStr
23. IndexOf("x", Lblf) → firstX
24. If(Defined[firstX], IndexOf["x", Take[Lblf, firstX + 1]] + firstX) → secondX
25. LaTeX(If[Defined[firstX], (Take[Lblf, 1, firstX - 1] * subStr), ""]) → subFirstX
26. LaTeX((subFirstX * If[Defined[secondX], (Take[Lblf, firstX + 1, secondX - 1] * subStr), Take[Lblf, firstX + 1]])) → subSecondX
27. LaTeX((subSecondX * If[Defined[secondX] ∧ secondX < Length[Lblf], Take[Lblf, secondX + 1], ""])) → subComplete
28. LaTeX("") → fbLine1
29. LaTeX((((((("\text{\hphantom{12}" * bullet) * " \(y_\text{vertex}=") * subComplete) * "=") * yCoordVertex) * "\) is the \\ \(y\)-coordinate of the vertex.}")) → fbLine8
30. Sequence((("SetFixed(P_" * i) * ",false,false)"), i, 1, 3) → test
31. LaTeX((((((((("\text{Therefore, the vertex is \((" * xCoordVertex) * ",") * yCoordVertex) * ")\), which maps to\\\((") * xCoordVertex) * ",") * abs(yCoordVertex)) * ")\) on \(y= \left\vert f(x) \right\vert\) .}")) → fbLine9
32. LaTeX((((((((((((((((fbLine1 * "\\") * fbLine2) * "\\") * fbLine3) * fbLine4) * "\\") * fbLine5) * "\\") * fbLine6) * "\\") * fbLine7) * "\\") * fbLine8) * "\\") * fbLine9)) → fbComplete
33. LaTeX((((("\text{\textbf{Question: }" * MainInstruc) * "\\\textbf{Instructions: }") * SpecInstruc) * "}")) → allInstruc