函数的平移变换 by cemccourseware

GeoGebra 命令及参数

1. Polygon({(-11, -10.75), (-11, 10.75), (11, 10.75), (11, -10.75)}) → viewBox
2. If(showQuadratic, x^(2), If[showSquareRoot, sqrt(x), 1 / x]) → preImageFunction
3. LaTeX("f(x)=x^2") → quadraticBoxLabel
4. If(showQuadratic, If[h ≟ 0, x^(2) + k, (x - h)^(2) + k], If[showSquareRoot, sqrt(x - h) + k, 1 / (x - h) + k]) → imageFunction
5. LaTeX("f(x)=\sqrt{x}") → squareRootBoxLabel
6. LaTeX("f(x)=\frac{1}{x}") → reciprocalBoxLabel
7. Asymptote(preImageFunction) → asymptotePreImage
8. Asymptote(imageFunction) → asymptoteImage
9. If(showQuadratic, {-2, -1, 0, 1, 2}, If[showReciprocal, {-2, -1, -0.5, 0.5, 1, 2}, {0, 1, 4}]) → xValues
10. Zip((A, preImageFunction(A)), A, xValues) → preImagePoints
11. LaTeX((((("\text{" * QUESTION) * "\\") * INSTRUCTIONS) * "}")) → TEXT
12. LaTeX(("\vphantom{-1}k=" * k)) → kLabel
13. LaTeX(("\vphantom{-1}h=" * h)) → hLabel
14. Zip((A, imageFunction(A)), A, Zip[B + h, B, xValues]) → imagePoints