OCR PURE — Question 6

Exam BoardOCR
ModulePURE
TopicCurve Sketching
TypeBasic factored form sketching

6 Sketch the following curves.
  1. \(y = \frac { 2 } { x }\)
  2. \(y = x ^ { 3 } - 6 x ^ { 2 } + 9 x\)
    \(7 \quad O A B C\) is a parallelogram with \(\overrightarrow { O A } = \mathbf { a }\) and \(\overrightarrow { O C } = \mathbf { c } . P\) is the midpoint of \(A C\).
    \includegraphics[max width=\textwidth, alt={}, center]{3fdf2b2d-20a9-4d68-b760-57ec529b5893-4_298_735_383_657}
  3. Find the following in terms of \(\mathbf { a }\) and \(\mathbf { c }\), simplifying your answers.