4MA0 Foundation June 2016 Paper 2R Q20
20
(a) Complete the table of values for \(y = x^2 - 4x + 2\)
(2)
| \(x\) | −2 | −1 | 0 | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|---|---|---|
| \(y\) | 14 | 2 | −1 | 2 |
(b) On the grid, draw the graph of \(y = x^2 - 4x + 2\) for values of \(x\) from −2 to 5
The point \(P\ (k, 4)\) where \(k \gt 0\) lies on the graph of \(y = x^2 - 4x + 2\)
(c) Use your graph to find an estimate for the value of \(k\). (1)
| Scheme | Marks |
|---|---|
| 7, −1, −2, 7 | B2 |
| (2) |
Notes
B2: all correct
B1 for 2 or 3 correct
| Scheme | Marks |
|---|---|
| M1 | |
| Correct curve | A1 |
| (2) |
Notes
M1: for plotting at least 6 points correctly from their table (dep on B1 earned in (a))
A1: fully correct curve
| Scheme | Marks |
|---|---|
| 4.4 – 4.5 | B1 |
| (1) |
Notes
B1: ft any parabola with 2 intersections with \(y = 4\), 1 value for \(x\) only. Condone eg (4.4, 4)