| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Completing the square and sketching |
| Type | Complete square then find vertex/turning point |
| Difficulty | Easy -1.2 This is a straightforward completing-the-square exercise with direct application to find the vertex. Both parts are routine C1 procedures requiring only standard algebraic manipulation and recognition that vertex form gives the turning point immediately. No problem-solving or insight needed beyond textbook method application. |
| Spec | 1.02e Complete the square: quadratic polynomials and turning points |
4. (i) Express $x ^ { 2 } + 6 x + 7$ in the form $( x + a ) ^ { 2 } + b$.\\
(ii) State the coordinates of the vertex of the curve $y = x ^ { 2 } + 6 x + 7$.\\
\hfill \mbox{\textit{OCR C1 Q4 [5]}}