1.
\begin{figure}[h]
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\caption{Figure 1}
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Figure 1 shows a sketch of the graph with equation \(y = \mathrm { f } ( x )\) where
$$f ( x ) = 2 | x - 5 | + 10$$
The point \(P\), shown in Figure 1, is the vertex of the graph.
- State the coordinates of \(P\)
- Use algebra to solve
$$2 | x - 5 | + 10 > 6 x$$
(Solutions relying on calculator technology are not acceptable.)
- Find the point to which \(P\) is mapped, when the graph with equation \(y = \mathrm { f } ( x )\) is transformed to the graph with equation \(y = 3 \mathrm { f } ( x - 2 )\)