OCR C1 2005 June — Question 7

Exam BoardOCR
ModuleC1 (Core Mathematics 1)
Year2005
SessionJune
TopicQuadratic Functions

7
  1. Calculate the discriminant of each of the following:
    (a) \(x ^ { 2 } + 6 x + 9\),
    (b) \(x ^ { 2 } - 10 x + 12\),
    (c) \(x ^ { 2 } - 2 x + 5\).
  2. \begin{figure}[h]
    \includegraphics[alt={},max width=\textwidth]{e2a460a0-e411-4563-8f60-005189b6a3d9-3_391_446_628_397} \captionsetup{labelformat=empty} \caption{Fig. 1}
    \end{figure} \begin{figure}[h]
    \includegraphics[alt={},max width=\textwidth]{e2a460a0-e411-4563-8f60-005189b6a3d9-3_394_449_625_888} \captionsetup{labelformat=empty} \caption{Fig. 2}
    \end{figure} \begin{figure}[h]
    \includegraphics[alt={},max width=\textwidth]{e2a460a0-e411-4563-8f60-005189b6a3d9-3_389_442_630_1384} \captionsetup{labelformat=empty} \caption{Fig. 3}
    \end{figure} \begin{figure}[h]
    \includegraphics[alt={},max width=\textwidth]{e2a460a0-e411-4563-8f60-005189b6a3d9-3_394_446_1119_644} \captionsetup{labelformat=empty} \caption{Fig. 4}
    \end{figure} \begin{figure}[h]
    \includegraphics[alt={},max width=\textwidth]{e2a460a0-e411-4563-8f60-005189b6a3d9-3_396_447_1119_1137} \captionsetup{labelformat=empty} \caption{Fig. 5}
    \end{figure} State with reasons which of the diagrams corresponds to the curve
    (a) \(y = x ^ { 2 } + 6 x + 9\),
    (b) \(y = x ^ { 2 } - 10 x + 12\),
    (c) \(y = x ^ { 2 } - 2 x + 5\).