Higher June 2022 Paper 3 Q6
6 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, …) or \(y = -9\) or (…, \(-9\)) 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 |