Higher November 2021 Paper 2 Q4
4
(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
(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 graph |
| 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