Higher November 2017 Paper 1 Q22
22.
(a) Write the expression \(x^2 - 6x + 19\) in the form \((x + a)^2 + b\), where \(a\) and \(b\) are integers. [3]
(b) State the coordinates of the turning point of the curve \(y = x^2 - 6x + 30\). [2]
| Scheme | Marks | Comments |
|---|---|---|
| \((x - 3)^2 + 10\) or \(a = -3,\ b = 10\) | B3 | B2 for sight of \(\left(x - \dfrac{6}{2}\right)^2 - 3^2\) or B1 for sight of \(\left(x - \dfrac{6}{2}\right)^2 \pm \ldots\) Ignore ‘= 0’ if seen. |
| Scheme | Marks | Comments |
|---|---|---|
| (3, 21) | B2 | FT −‘their \(a\)’ and 11 + ‘their \(b\)’ B1 for each coordinate. |
| (5) |