Higher January 2019 Paper 1 Q6
6
(a) Complete the table of values for \(y = x^2 - 5x + 6\) (1)
| \(x\) | 0 | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|---|
| \(y\) | 6 | 0 | 0 | 2 |
(b) On the grid, draw the graph of \(y = x^2 - 5x + 6\) for \(0 \leqslant x \leqslant 5\) (2)
(c) By drawing a suitable straight line on the grid, find estimates for the solutions of the equation \[x^2 - 5x = x - 7\] (3)
| Scheme | Marks |
|---|---|
| (6), 2, (0), (0), (2), 6 | B1 |
| (1) |
Notes
B1: For both entries correct
| Scheme | Marks |
|---|---|
| \((0, 6), (1, 2), (2, 0), (3, 0), (4, 2), (5, 6)\) | M1 |
| Correct curve | A1 |
| (2) |
Notes
M1: for at least 5 points plotted correctly (ft their table)
A1: for a correct curve
| Scheme | Marks |
|---|---|
| \(x^2 - 5x + 6 = x - 1\) | M1 |
| M1 | |
| Working required Answer: 1.6 and 4.4 | A1 |
| (3) | |
| (6 marks) |
Notes
M1: or for \(y = x - 1\)
M1: for \(y = x - 1\) drawn
A1: dep on M2
ft from their graph in (b) if at least 1 mark scored in (b)