| Exam Board | OCR |
| Module | C1 (Core Mathematics 1) |
| Year | 2008 |
| Session | June |
| Topic | Quadratic Functions |
10
- Express \(2 x ^ { 2 } - 6 x + 11\) in the form \(p ( x + q ) ^ { 2 } + r\).
- State the coordinates of the vertex of the curve \(y = 2 x ^ { 2 } - 6 x + 11\).
- Calculate the discriminant of \(2 x ^ { 2 } - 6 x + 11\).
- State the number of real roots of the equation \(2 x ^ { 2 } - 6 x + 11 = 0\).
- Find the coordinates of the points of intersection of the curve \(y = 2 x ^ { 2 } - 6 x + 11\) and the line \(7 x + y = 14\).