The diagram shows the curve with equation $$\(y=\mathrm{f}(x)\)$$ The coordinates of the minimum point of the curve are $$\((-2,-1)\)$$ (a) Write down the coordinates of the minimum point of the curve with equation (i) $$\(y=\mathrm{f}(x-5)\)$$ (ii) $$\(y=\frac{1}{2} \mathrm{f}(x)\)$$ (2) The graph of $$\(y=a \sin (x-b)^{\circ}+c\)$$ for $$\(-90 \leqslant x \leqslant 450\)$$ is drawn on the grid below.

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