Edexcel C34 2019 January — Question 12

Exam BoardEdexcel
ModuleC34 (Core Mathematics 3 & 4)
Year2019
SessionJanuary
TopicModulus function

12. Given that \(k\) is a positive constant,
  1. sketch the graph with equation $$y = 2 | x | - k$$ Show on your sketch the coordinates of each point at which the graph crosses the \(x\)-axis and the \(y\)-axis.
  2. Find, in terms of \(k\), the values of \(x\) for which $$2 | x | - k = \frac { 1 } { 2 } x + \frac { 1 } { 4 } k$$