1MA0 Higher June 2017 Paper 1 Q13
13
(a) Complete the table of values for \(y = x^2 - 3x + 1\)
(2)
| \(x\) | \(-2\) | \(-1\) | 0 | 1 | 2 | 3 | 4 |
|---|---|---|---|---|---|---|---|
| \(y\) | 11 | 1 | \(-1\) | 1 |
(b) On the grid, draw the graph of \(y = x^2 - 3x + 1\) for values of \(x\) from \(-2\) to 4
(2)

(c) By drawing a suitable straight line on the grid, find estimates for the solutions of \[x^2 - 3x + 1 = 3\] (2)
| Answer | Mark | Notes |
|---|---|---|
| \(5, -1, 5\) | 2 | B2 for all 3 correct (B1 for 1 or 2 correct) |
| Answer | Mark | Notes |
|---|---|---|
| Correct graph | 2 | M1 ft for 5, 6 or 7 points plotted correctly, provided at least B1 awarded in (a) A1 for a fully correct graph (no line segments) |

| Answer | Mark | Notes |
|---|---|---|
| \(-0.6\), 3.6 | 2 | M1 for use of \(y = 3\) A1 for \(-0.5\) to \(-0.7\), 3.5 to 3.7 (ft quadratic graph) |