本题目来源于试卷: Transformations，类别为 IB数学
[问答题]
Let f and g be funu 1oxb3 50g:3aoo jxcmgm7j*i1 /adbj+l338 dfv rqxifm.w:k ctions such that $g(x)=3 f(x-2)+1$ , for $x \in \mathbb{R}$ .
The graph of g is obtained from the graph of f after the following transformations:
a vertical stretch by a factor of k , followed by
a translation by the vector $\binom{a}{b}$ .
1. Write down the value of:
1. k ;
2. a ;
3. b .
Let h(x)=-2 g(x) , for $x \in \mathbb{R}$ .
The point $\mathrm{P}(3,4)$ on the graph of g is mapped to point $\mathrm{Q}$ on the graph of h .
2. Find the coordinates of Q .
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