| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Completing the square and sketching |
| Type | Transformations of quadratic graphs |
| Difficulty | Moderate -0.3 This is a straightforward completing the square question with standard transformations. Part (a) is routine algebraic manipulation, part (b) is direct reading from completed square form, and part (c) applies basic transformation rules that are commonly taught and practiced. The transformations are standard (vertical shift and horizontal stretch), making this slightly easier than average but not trivial due to the multi-part nature and 8 total marks. |
| Spec | 1.02e Complete the square: quadratic polynomials and turning points1.02w Graph transformations: simple transformations of f(x) |
$$f(x) = x^2 - 10x + 17.$$
\begin{enumerate}[label=(\alph*)]
\item Express $f(x)$ in the form $a(x + b)^2 + c$. [3]
\item State the coordinates of the minimum point of the curve $y = f(x)$. [1]
\item Deduce the coordinates of the minimum point of each of the following curves:
\begin{enumerate}[label=(\roman*)]
\item $y = f(x) + 4$, [2]
\item $y = f(2x)$. [2]
\end{enumerate}
\end{enumerate}
\hfill \mbox{\textit{OCR C1 Q5 [8]}}