Higher June 2018 Paper 4 Q15
15
(a) Write \(x^2 - 8x + 25\) in the form \((x - a)^2 + b\). [3]
(b) Write down the coordinates of the turning point of the graph of \(y = x^2 - 8x + 25\). [2]
(c) Hence describe the single transformation which maps the graph of \(y = x^2\) onto the graph of \(y = x^2 - 8x + 25\). [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \((x - 4)^2 + 9\) | 3 | B1 for \((x - 4)^2\) B2 FT for 9 | FT their \((x - 4)^2\) |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| (4 , 9) | 2 | B1FT for each part | FT their \((x - 4)^2 + 9\) |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Translation \(\begin{pmatrix} 4 \\ 9 \end{pmatrix}\) | 2 | B1 for translation B1FT for \(\begin{pmatrix} 4 \\ 9 \end{pmatrix}\) | award B1 if it FT from either (a) or (b) and condone e.g. 4 right 9 up |