Exploring the Translation of a Parabola to Approximate Three Points
2020-10-13 14:53
This GeoGebra applet demonstrates how to translate a parabola to approximate three given points. Using the FitPoly command and tools like Vector and Centroid, it dynamically illustrates the translation process. It intuitively explores the translation rules of quadratic function graphs and their applications in coordinate geometry, serving as a visual aid for teaching function transformations.
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1. 任意绘制三点，组成列表 pL={A,B,C}
2. 调用GGB指令创建抛物线 f: FitPoly(pL)
3. 用一个点D来控制平移的两个参数：左右平移和上下平移
4. 建立一个新的函数 g: f(x-x(D))+y(D)
5. 试着移动点D，可以观察到抛物线平移。""/>
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来达到平移抛物线的目的。
不能透明，用底色填充多边形。""/>
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并解锁该曲线\\
在原函数f(x)的OnUpdate事件中增加代码如下：\\
SetValue(h,f)""/>
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