| Exam Board | Edexcel |
| Module | C3 (Core Mathematics 3) |
| Topic | Modulus function |
6. (a) Sketch on the same diagram the graphs of \(y = | x | - a\) and \(y = | 3 x + 5 a |\), where \(a\) is a positive constant.
Show on your diagram the coordinates of any points where each graph meets the coordinate axes.
(b) Solve the equation
$$| x | - a = | 3 x + 5 a | .$$