AQA C1 2008 June — Question 4

Exam BoardAQA
ModuleC1 (Core Mathematics 1)
Year2008
SessionJune
TopicQuadratic Functions

4
  1. Express \(x ^ { 2 } - 3 x + 4\) in the form \(( x - p ) ^ { 2 } + q\), where \(p\) and \(q\) are rational numbers.
    (2 marks)
  2. Hence write down the minimum value of the expression \(x ^ { 2 } - 3 x + 4\).
  3. Describe the geometrical transformation that maps the graph of \(y = x ^ { 2 }\) onto the graph of \(y = x ^ { 2 } - 3 x + 4\).