OCR C1 2010 January — Question 7 5 marks

Exam BoardOCR
ModuleC1 (Core Mathematics 1)
Year2010
SessionJanuary
Marks5
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicCurve Sketching
TypeIdentify transformation from two graphs
DifficultyEasy -1.3 This is a straightforward C1 question requiring recognition of basic quadratic transformations and features (vertex position, y-intercept, roots). Students need only match standard forms to visual features without calculation or algebraic manipulation, making it easier than average.
Spec1.02d Quadratic functions: graphs and discriminant conditions1.02n Sketch curves: simple equations including polynomials

7 \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{918d83c3-1608-4482-9d3d-8af05e65f353-3_618_606_255_397} \captionsetup{labelformat=empty} \caption{Fig. 1}
\end{figure} \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{918d83c3-1608-4482-9d3d-8af05e65f353-3_622_622_251_1128} \captionsetup{labelformat=empty} \caption{Fig. 2}
\end{figure} \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{918d83c3-1608-4482-9d3d-8af05e65f353-3_620_613_986_395} \captionsetup{labelformat=empty} \caption{Fig. 3}
\end{figure} \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{918d83c3-1608-4482-9d3d-8af05e65f353-3_620_611_986_1128} \captionsetup{labelformat=empty} \caption{Fig. 4}
\end{figure}
  1. Each diagram shows a quadratic curve. State which diagram corresponds to the curve
    1. \(y = ( 3 - x ) ^ { 2 }\),
    2. \(y = x ^ { 2 } + 9\),
    3. \(y = ( 3 - x ) ( x + 3 )\).
    4. Give the equation of the curve which does not correspond to any of the equations in part (i).

7

\begin{figure}[h]
\begin{center}
  \includegraphics[alt={},max width=\textwidth]{918d83c3-1608-4482-9d3d-8af05e65f353-3_618_606_255_397}
\captionsetup{labelformat=empty}
\caption{Fig. 1}
\end{center}
\end{figure}

\begin{figure}[h]
\begin{center}
  \includegraphics[alt={},max width=\textwidth]{918d83c3-1608-4482-9d3d-8af05e65f353-3_622_622_251_1128}
\captionsetup{labelformat=empty}
\caption{Fig. 2}
\end{center}
\end{figure}

\begin{figure}[h]
\begin{center}
  \includegraphics[alt={},max width=\textwidth]{918d83c3-1608-4482-9d3d-8af05e65f353-3_620_613_986_395}
\captionsetup{labelformat=empty}
\caption{Fig. 3}
\end{center}
\end{figure}

\begin{figure}[h]
\begin{center}
  \includegraphics[alt={},max width=\textwidth]{918d83c3-1608-4482-9d3d-8af05e65f353-3_620_611_986_1128}
\captionsetup{labelformat=empty}
\caption{Fig. 4}
\end{center}
\end{figure}

(i) Each diagram shows a quadratic curve. State which diagram corresponds to the curve
\begin{enumerate}[label=(\alph*)]
\item $y = ( 3 - x ) ^ { 2 }$,
\item $y = x ^ { 2 } + 9$,
\item $y = ( 3 - x ) ( x + 3 )$.\\
(ii) Give the equation of the curve which does not correspond to any of the equations in part (i).
\end{enumerate}

\hfill \mbox{\textit{OCR C1 2010 Q7 [5]}}