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\includegraphics[max width=\textwidth, alt={}, center]{32f90420-e1eb-47ab-b588-e3806b64813f-3_641_837_1306_657}
The diagram shows the graph of \(y = - \sin ^ { - 1 } ( x - 1 )\).
- Give details of the pair of geometrical transformations which transforms the graph of \(y = - \sin ^ { - 1 } ( x - 1 )\) to the graph of \(y = \sin ^ { - 1 } x\).
- Sketch the graph of \(y = \left| - \sin ^ { - 1 } ( x - 1 ) \right|\).
- Find the exact solutions of the equation \(\left| - \sin ^ { - 1 } ( x - 1 ) \right| = \frac { 1 } { 3 } \pi\).