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Quadratics (id: 016671f59)

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admin 发表于 2024-6-12 22:44:09 | 显示全部楼层 |阅读模式
本题目来源于试卷: Quadratics,类别为 IB数学

[问答题]
Let $f(x)=2(x-1)^{2}-8$ , for x $\in \mathbb{R}$ .
1. Show that $f(x)=2 x^{2}-4 x-6$ .
2. For the graph of f :
1. write down the coordinates of the vertex;
2. write down the y -intercept;
3. find both x -intercepts.
3. Hence sketch the graph of f .

Let $g(x)=6 x^{2}$ , for $x \in \mathbb{R}$ .
The graph of f may be obtained from the graph of g using the following two transformations:
a compression of scale factor a in the y -direction, followed by
a translation of $\binom{h}{k}$ .
4. Find the values of a, h and k .




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