4MA0 Higher January 2014 Paper 3 Q9

(a) Describe fully the single transformation which maps triangle \(\mathbf{P}\) onto triangle \(\mathbf{Q}\). (3)

(b) On the grid, translate triangle \(\mathbf{Q}\) by the vector \(\begin{pmatrix} -8 \\ 2 \end{pmatrix}\)
Label the new triangle \(\mathbf{R}\). (1)

(c) Describe fully the single transformation which maps triangle \(\mathbf{R}\) onto triangle \(\mathbf{P}\). (2)