Higher November 2020 Paper 1 Q17
17. The diagram shows a sketch of a letter L.
Diagram not drawn to scale
This letter is first, reflected in the line \(x = 4\), then reflected in the \(x\)-axis and finally translated through \(\begin{pmatrix} -4 \\ -2 \end{pmatrix}\).
Describe the single transformation that is equivalent to these 3 transformations. [3]
You may use this grid to help you.
| Scheme | Marks | Comments |
|---|---|---|
| Rotation 180° (about) (2, −1) OR enlargement scale factor −1 centre (2, −1) | B3 | Marks can only be awarded for description of a single transformation. B2 for rotation about (2, −1) or for rotation, 180°, about ‘their (2, −1)’, provided ‘their (2, −1)’ is not (0, 0) OR for enlargement centre (2, −1) or for enlargement, scale factor −1, centre ‘their (2, −1)’ provided ‘their (2, −1)’ is not (0, 0) or B1 for rotation about ‘their (2, −1)’ provided ‘their (2, −1)’ is not (0, 0) OR for enlargement, centre ‘their (2, −1)’ provided ‘their (2, −1)’ is not (0, 0) If no marks award SC2 for a final answer Translation \(\begin{pmatrix} -4 \\ -10 \end{pmatrix}\) (following an initial reflection in \(y = 4\)) or SC1 for a correct diagram following an initial reflection in \(y = 4\), and the word translation or SC1 for any clear diagram showing a complete correct transformation of an appropriate L shape. (one side longer than the other) |
| (3) |