Foundation November 2021 Paper 2 Q24
24
(a) Complete the table of values for \(y = x^2 - 2x + 2\)
(2)
| \(x\) | \({-2}\) | \({-1}\) | 0 | 1 | 2 | 3 | 4 |
|---|---|---|---|---|---|---|---|
| \(y\) | 10 | 2 | 5 |
(b) On the grid, draw the graph of \(y = x^2 - 2x + 2\) for values of \(x\) from \({-2}\) to 4 (2)
(c) Use your graph to find estimates of the solutions of the equation \(x^2 - 2x + 2 = 4\) (2)
| Answer | Mark | Mark scheme |
|---|---|---|
| (10), 5, (2), 1, 2, (5), 10 | B2 | for all 4 values correct |
| (B1 | for 2 or 3 correct values) |
| Answer | Mark | Mark scheme |
|---|---|---|
| Graph | M1 | ft (dep on B1) for plotting at least 5 of their points correctly |
| A1 | for a fully correct curve drawn |
Additional guidance
Accept a freehand curve drawn that is not made of line segments
| Answer | Mark | Mark scheme |
|---|---|---|
| \({-0.65}\) to \({-0.8}\) and 2.65 to 2.8 | M1 | for \(y = 4\) drawn or intersection with \(y = 4\) or \(y = x^2 - 2x - 2\) drawn or 1 correct value (ft a quadratic) |
| A1 | ft a quadratic graph or for answers in the range 2.65 to 2.8 and \({-0.65}\) to \({-0.8}\) |
Additional guidance
If answers stated as coordinates, award M1 for both coordinates and M0 for one coordinate