Higher June 2017 Paper 2 Q6
6
(a) Complete the table of values for \(\quad y = x^2 - x - 2\) [2 marks]
| \(x\) | \(-2\) | \(-1\) | 0 | 1 | 2 | 3 |
|---|---|---|---|---|---|---|
| \(y\) | \(-2\) | \(-2\) | 4 |
(b) Draw the graph of \(\quad y = x^2 - x - 2 \quad\) for values of \(x\) from \(-2\) to 3 [2 marks]
(c) Write down the \(x\)-coordinate of the turning point of the graph. [1 mark]
| Answer | Mark | Comments | ||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| B2 | B1 1 or 2 values correct |
| Answer | Mark | Comments |
|---|---|---|
| 5 or 6 points plotted correctly | M1 | Correct or ft their table in (a) Tolerance of \(\pm 1\) small square Points can be implied by graph passing through them |
| Correct smooth parabolic curve and \(y\)-coordinate of minimum point in the range \(-2.5 \leqslant y \leqslant -2.1\) | A1 | Tolerance of \(\pm 1\) small square for the six correct points from the table No further tolerance for the minimum |
Additional guidance
Tolerance of \(\pm 1\) small square means it is on the edges of or within the shaded area | |
| Ignore extra points plotted | |
| If their table in (a) has points that are beyond the grid these points will not be able to be plotted correctly | |
| Ignore any curve drawn for \(x \lt -2\) or \(x \gt 3\) | |
| Curve passing through all correct points within tolerance | M1A1 |
| Ruled straight lines | A0 |
| Answer | Mark | Comments |
|---|---|---|
| \(\dfrac{1}{2}\) or 0.5 | B1 | Ignore any \(y\)-coordinate |
Additional guidance
| \((-2.25, 0.5)\) | B0 |
| Ignore their graph drawn in (b) – there is no ft | |
| Condone \(0.5, -2.25\) | B1 |