Edexcel P1 2022 January — Question 2

Exam BoardEdexcel
ModuleP1 (Pure Mathematics 1)
Year2022
SessionJanuary
TopicQuadratic Functions

2. $$f ( x ) = 11 - 4 x - 2 x ^ { 2 }$$
  1. Express \(\mathrm { f } ( x )\) in the form $$a + b ( x + c ) ^ { 2 }$$ where \(a , b\) and \(c\) are integers to be found.
  2. Sketch the graph of the curve \(C\) with equation \(y = \mathrm { f } ( x )\), showing clearly the coordinates of the point where the curve crosses the \(y\)-axis.
  3. Write down the equation of the line of symmetry of \(C\).