| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 4 |
| 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 C1 completing the square question with standard bookwork. Part (a) requires a routine algebraic manipulation following a well-practiced method, and part (b) is immediate recall once (a) is complete. The 4 total marks reflect minimal complexity with no problem-solving or insight required. |
| Spec | 1.02e Complete the square: quadratic polynomials and turning points |
| Answer | Marks | Guidance |
|---|---|---|
| (a) \(= (x + 3)^2 - 9 + 7\) | M1 | |
| \(= (x + 3)^2 - 2\) | A2 | |
| (b) \((-3, -2)\) | B1 | (4 marks) |
**(a)** $= (x + 3)^2 - 9 + 7$ | M1 |
$= (x + 3)^2 - 2$ | A2 |
**(b)** $(-3, -2)$ | B1 | (4 marks)\begin{enumerate}[label=(\alph*)]
\item Express $x^2 + 6x + 7$ in the form $(x + a)^2 + b$. [3]
\item State the coordinates of the minimum point of the curve $y = x^2 + 6x + 7$. [1]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C1 Q2 [4]}}