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Transformations (id: 51d78474a)

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admin 发表于 2024-6-15 12:41:08 | 显示全部楼层 |阅读模式
本题目来源于试卷: Transformations,类别为 IB数学

[问答题]
Let $f(x)=x^{3}$ and $g(x)=5(x-2)^{3}$ , for $x \in \mathbb{R}$ .
The graph of g can be obtained from the graph of f using two transformations.
1. Give a full geometric description of each of the two transformations.

The graph of g is translated by the vector $\binom{4}{-1}$ to give the graph of a function h . The point $\mathrm{P}(1,1)$ on the graph of f is translated to point $\mathrm{Q} $ on the graph of h .
2. Find the coordinates of $\mathrm{Q}$ .




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