CAIE P1 2008 June — Question 4

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2008
SessionJune
TopicQuadratic Functions

4 The equation of a curve \(C\) is \(y = 2 x ^ { 2 } - 8 x + 9\) and the equation of a line \(L\) is \(x + y = 3\).
  1. Find the \(x\)-coordinates of the points of intersection of \(L\) and \(C\).
  2. Show that one of these points is also the stationary point of \(C\).