Higher June 2025 Paper 1 Q23
23
(a) Write \(\quad x^2 + 12x + 50 \quad\) in the form \(\quad (x + a)^2 + b \quad\) where \(a\) and \(b\) are integers. [2 marks]
(b) A curve has the equation \(\quad y = (x - 3)^2 - 8\)
Write down the coordinates of the turning point of the curve. [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| \((x + 6)^2\ldots\) or \((x + 6)(x + 6)\ldots\) | M1 | accept \(\left(x + \dfrac{12}{2}\right)^2\) implied by grid for \((x + 6)(x + 6)\) |
| \((x + 6)^2 + 14\) | A1 | condone \(a = 6\) and \(b = 14\) |
Additional guidance
\((x + 6)^2\) may be \((x + 6)(x + 6)\) or \((6 + x)^2\) or \((x + 6)(6 + x)\) throughout
| Answer | Mark | Comments |
|---|---|---|
| \((+)3, -8\) | B2 | B1 for each coordinate |