Edexcel C3 2017 June — Question 6

Exam BoardEdexcel
ModuleC3 (Core Mathematics 3)
Year2017
SessionJune
TopicModulus function

  1. Given that \(a\) and \(b\) are positive constants,
    1. on separate diagrams, sketch the graph with equation
      1. \(y = | 2 x - a |\)
      2. \(y = | 2 x - a | + b\)
    Show, on each sketch, the coordinates of each point at which the graph crosses or meets the axes. Given that the equation $$| 2 x - a | + b = \frac { 3 } { 2 } x + 8$$ has a solution at \(x = 0\) and a solution at \(x = c\),
  2. find \(c\) in terms of \(a\).