The diagram shows a sketch of part of the curve with equation $$\(y=\mathrm{f}(x)\)$$ There is one maximum point on this curve. The coordinates of this maximum point are $$\((4,6)\)$$ (a) Write down the coordinates of the maximum point on the curve with equation (i) $$\(y=\mathrm{f}(x+4)\)$$ (ii) $$\(y=\mathrm{f}(2 x)\)$$ (2) The equation of a curve $$\(\mathbf{C}\)$$ is $$\(y=x^{2}+3 x+4\)$$ The curve $$\(\mathbf{C}\)$$ is transformed to curve $$\(\mathbf{S}\)$$ under the translation $$\(\left(\begin{array}{l}4 \\ 6\end{array}\right)\)$$ (b) Find an equation of curve $$\(\mathbf{S}\)$$. You do not need to simplify the equation. (2)

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