| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Completing the square and sketching |
| Type | Sketch quadratic curve |
| Difficulty | Easy -1.2 This is a straightforward completing the square exercise with standard graph sketching. It requires routine algebraic manipulation (completing the square gives (x-3)²-9) and basic curve sketching skills (finding vertex, y-intercept, and x-intercepts). This is a textbook C1 question testing fundamental techniques with no problem-solving or novel insight required, making it easier than average. |
| Spec | 1.02e Complete the square: quadratic polynomials and turning points1.02n Sketch curves: simple equations including polynomials |
Express $x^2 - 6x$ in the form $(x - a)^2 - b$.
Sketch the graph of $y = x^2 - 6x$, giving the coordinates of its minimum point and the intersections with the axes. [5]
\hfill \mbox{\textit{OCR MEI C1 Q7 [5]}}