Higher November 2019 Paper 5 Q15
15 You may use this coordinate grid to help you answer the following questions.
Describe fully the single transformation that is equivalent to
(a) a translation of \(\begin{pmatrix} -7 \\ 2 \end{pmatrix}\) followed by a translation of \(\begin{pmatrix} 3 \\ -5 \end{pmatrix}\), [2]
(b) a reflection in the line \(y = x\) followed by a rotation of 90° clockwise around (0, 0). [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Translation \(\begin{pmatrix} -4 \\ -3 \end{pmatrix}\) oe | 2 | B1 for \(\begin{pmatrix} -4 \\ -3 \end{pmatrix}\) oe or for translation \(\begin{pmatrix} -4 \\ k \end{pmatrix}\) oe or translation \(\begin{pmatrix} k \\ -3 \end{pmatrix}\) oe If 0 scored, SC1 for translation (–4, –3) or for triangle drawn on grid at (–1, 0 ), (–1, –1), (1, –1) | Extra transformations spoil all marks but allow SC1 mark Extra properties treat as choice oe e.g. 4 left and 3 down Use overlay ignore other triangles |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Reflection \(x\) – axis oe | 3 | B2 for reflection B1 for x – axis oe If 0 scored, SC2 for image drawn at (3, –3), (3, –2) and (5, –2) SC1 for image drawn at (3, 3), (2, 3) and (2, 5) | Extra transformations spoil all marks but allow SC marks Extra properties treat as choice Use overlay ignore other triangles |