| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2012 |
| Session | January |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Topic | Completing the square and sketching |
| Type | Complete square then find vertex/turning point |
| Difficulty | Moderate -0.8 This is a straightforward completing-the-square question with standard coefficient manipulation, followed by direct reading of the minimum value from the completed square form. It requires only routine algebraic technique with no problem-solving insight, making it easier than average but not trivial due to the non-unit leading coefficient. |
| Spec | 1.02e Complete the square: quadratic polynomials and turning points |
8 Express $5 x ^ { 2 } + 15 x + 12$ in the form $a ( x + b ) ^ { 2 } + c$.\\
Hence state the minimum value of $y$ on the curve $y = 5 x ^ { 2 } + 15 x + 12$.
\hfill \mbox{\textit{OCR MEI C1 2012 Q8 [5]}}