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In the diagram, the graph with equation \(y = \mathrm { f } ( x )\) is shown with solid lines and the graph with equation \(y = \mathrm { g } ( x )\) is shown with broken lines.
- Describe fully a sequence of three transformations which transforms the graph of \(y = \mathrm { f } ( x )\) to the graph of \(y = \mathrm { g } ( x )\).
- Find an expression for \(\mathrm { g } ( x )\) in the form \(a \mathrm { f } ( b x + c )\), where \(a , b\) and \(c\) are integers.
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\includegraphics[max width=\textwidth, alt={}, center]{49e137bf-42cc-41af-b5d9-85301d4699b8-07_2723_35_101_20}