Higher November 2021 Paper 2 Q25
25 The equation of a curve is \(\qquad y = x^2 + 14x + 52\)
By completing the square, work out the coordinates of the turning point.
You must show your working. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \((x + 7)^2 \ldots\) | M1 | |
| \((x + 7)^2 - 7^2 + 52\) or \((x + 7)^2 - 49 + 52\) or \((x + 7)^2 + 3\) | M1dep | |
| M2 seen and \((-7,\ 3)\) | A1 |
Additional guidance
| Answer from other methods or with no method seen | M0M0A0 |
| Allow \((x + 7)(x + 7)\) for \((x + 7)^2\) throughout | |
| Condone inclusion of \(= 0\) in all working | |
| Ignore any solution attempt for \((x + 7)^2 + 3 = 0\) |