Higher June 2018 Paper 2 Q5
5
(a) Complete the table of values for \(y = x^2 - x - 6\)
(2)
| \(x\) | \(-3\) | \(-2\) | \(-1\) | \(0\) | \(1\) | \(2\) | \(3\) |
|---|---|---|---|---|---|---|---|
| \(y\) | \(6\) | \(-6\) |
(b) On the grid, draw the graph of \(y = x^2 - x - 6\) for values of \(x\) from \(-3\) to 3
(c) Use your graph to find estimates of the solutions to the equation \(x^2 - x - 6 = -2\) (2)
| Answer | Mark | Mark scheme |
|---|---|---|
| \(0, -4, -6, -4, 0\) | B2 | fully correct figures |
| (B1 | At least 2 correct figures) |
| Answer | Mark | Mark scheme |
|---|---|---|
| Graph | M1 | (dep B1) for at least 5 points correctly plotted ft from (a) |
| A1 | fully correct graph |
Additional guidance
Must be a curve
| Answer | Mark | Mark scheme |
|---|---|---|
| 2.6 and \(-1.6\) | M1 | for \(y = -2\) drawn or intersections with \(y = -2\) or \(y = x^2 - x - 4\) drawn or 1 correct value |
| A1 | ft a quadratic graph or for answers in the range 2.5 to 2.7 and \(-1.5\) to \(-1.7\) |
Additional guidance
If answers stated as coordinates, award M1 for both coordinates and M0 for one coordinate