Foundation June 2024 Paper 3 Q16
16 Here is a table of values for \(y = 2x^2 - 3x\).
| \(x\) | \(-2\) | \(-1\) | 0 | 1 | 2 | 3 |
|---|---|---|---|---|---|---|
| \(y\) | 14 | 5 | 0 | \(-1\) | 2 | 9 |
(a) Draw the graph of \(y = 2x^2 - 3x\) for values of \(x\) from \(-2\) to 3.
[3]
(b) Use your graph to find the \(x\)-coordinates of the points where the graph of \(y = 2x^2 - 3x\) crosses the line \(y = 6\). [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Correct curve through given points | 3 | B2 for 6 points correctly plotted or B1 for 4 points correctly plotted | Half square accuracy. Use overlay as guide For curve: No line segments used Condone minor feathering or doubling Max half square vertically or horizontally from any point |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| their \(-1.1\) and their 2.6 | 2 | Strict FT from their graph. B1 for each or ruled \(y = 6\) cutting their curve twice or points indicated on their curve where \(y = 6\) Must have graph to score | Do not accept coordinates Half square accuracy or better For thick lines mark centre of line Ruled line within half square of \(y = 6\) throughout Their curve may be a polygon or straight line If intersection at mid-point of small square e.g. \(-1.15\) accept \(-1.2\) or \(-1.1\) |