CAIE P1 2016 November — Question 3

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2016
SessionNovember
TopicInequalities

3 A curve has equation \(y = 2 x ^ { 2 } - 6 x + 5\).
  1. Find the set of values of \(x\) for which \(y > 13\).
  2. Find the value of the constant \(k\) for which the line \(y = 2 x + k\) is a tangent to the curve.