OCR MEI C1 2009 June — Question 9 5 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Year2009
SessionJune
Marks5
PaperDownload PDF ↗
TopicCompleting the square and sketching
TypeComplete square then find vertex/turning point
DifficultyEasy -1.2 This is a straightforward completing the square exercise with direct application to find a minimum point. It requires only standard algebraic manipulation and recognition that the vertex form immediately gives the minimum coordinates. This is routine C1 content with no problem-solving or novel insight required, making it easier than average.
Spec1.02e Complete the square: quadratic polynomials and turning points

  1. Express \(x^2 + 6x + 5\) in the form \((x + a)^2 + b\). [3]
  2. Write down the coordinates of the minimum point on the graph of \(y = x^2 + 6x + 5\). [2]

\begin{enumerate}[label=(\roman*)]
\item Express $x^2 + 6x + 5$ in the form $(x + a)^2 + b$. [3]
\item Write down the coordinates of the minimum point on the graph of $y = x^2 + 6x + 5$. [2]
\end{enumerate}

\hfill \mbox{\textit{OCR MEI C1 2009 Q9 [5]}}