Foundation June 2022 Paper 3 Q23
23 Here is a sketch of the curve \(\quad y = x^2 - 4x - 5\)
(a) Write down the two roots of \(\quad x^2 - 4x - 5 = 0\) [1 mark]
(b) Work out the coordinates of \(T\), the turning point of the curve. [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(-1\) and 5 | B1 | either order |
Additional guidance
| Ignore \(x =\) written before answers | |
| \((-1, 0)\) or \((5, 0)\) | B0 |
| Answer | Mark | Comments |
|---|---|---|
| \((2, -9)\) | B2 | B1 \(x = 2\) or \((2, \ldots)\) or \(y = -9\) or \((\ldots, -9)\) or \((x - 2)^2 - 9\) B1ft correct \(y\)-coordinate for their \(x\)-coordinate with \(x \ne -1\), 0 or 5 SC1 \((-9, 2)\) |
Additional guidance
| If answer line is blank, check diagram for indication of \(x\) or \(y\) values | |
| \((3, -9)\) | B1 |
| \((3, -8)\) | B1ft |
| \((1, -8)\) | B1ft |
| \((2.5, -8.75)\) | B1ft |
| \((0, -5)\) | B0ft |