本题目来源于试卷: Transformations，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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