指数函数变换 by cemccourseware

GeoGebra 命令及参数

1. If(Random[1, 2] ≟ 1, Random[-7, -1], Random[1, 7]) → k
2. If(Random[1, 2] ≟ 1, Random[-7, -1], Random[1, 7]) → h
3. Shuffle(1…4) → wholeList
4. Element(wholeList, 1) → aWhole
5. If(Random[1, 2] ≟ 1, aWhole, 1 / aWhole) → aWholeFrac
6. If(Random[1, 2] ≟ 1, (aWholeFrac * (-1)), aWholeFrac) → a
7. Element(wholeList, 2) → bWhole
8. If(Random[1, 2] ≟ 1, bWhole, 1 / bWhole) → bWholeFrac
9. If(Random[1, 2] ≟ 1, (bWholeFrac * (-1)), bWholeFrac) → b
10. If(b ≟ -1, "-", If[b ≟ 1, "", NumToImproperFrac[b]]) → txtB
11. LaTeX(((((txtB * "\left(x") * If[c ≟ 0, "", If[(b * h) < 0, "-", "+"]]) * NumToImproperFrac[abs(h)]) * "\right)")) → txtInnerFactored
12. UnicodeToLetter(10007) → xmark
13. UnicodeToLetter(10003) → cmark
14. Textfield(textA) → ansAbox
15. Textfield(textH) → ansHbox
16. Textfield(textK) → ansKbox
17. LaTeX("\text{Vertical \hspace{140} by a factor of}") → verStretchCompress2
18. LaTeX("\text{Reflection in the \(x\)-axis}") → reflectX
19. LaTeX("\text{Translation \hspace{80} by \hspace{50} unit(s)}") → horTranslate2
20. LaTeX("\text{Translation \hspace{80} by \hspace{50} unit(s)}") → verTranslate2
21. LaTeX("\text{Vertical translation}") → verTranslate1
22. LaTeX("\text{Vertical stretch or compression}") → verStretchCompress1
23. LaTeX("\text{Horizontal translation}") → horTranslate1
24. Textfield(textB) → ansBbox
25. LaTeX("\text{Reflection in the \(y\)-axis") → reflectY
26. Shuffle({2, 3, 4, 5, 1 / 2, 1 / 3, 1 / 4, 1 / 5}) → possibleBaseValues
27. Element(possibleBaseValues, 1) → base
28. LaTeX((("\text{\textbf{Question: }Identify the transformations.\\\textbf{Instructions: }Select and describe all of the transformations that are applied to \(f(x)=(" * FractionText[base]) * ")^x\)\\to obtain the function shown below.}")) → TEXT
29. LaTeX((((txtB * "x") * If[h ≟ 0, "", If[(b * h) > 0, "-", "+"]]) * NumToImproperFrac[abs((b * h))])) → txtInnerExpanded