| Exam Board | OCR |
| Module | C3 (Core Mathematics 3) |
| Topic | Modulus function |
7. (i) Sketch on the same diagram the graphs of \(y = 4 a ^ { 2 } - x ^ { 2 }\) and \(y = | 2 x - a |\), where \(a\) is a positive constant. Show, in terms of \(a\), the coordinates of any points where each graph meets the coordinate axes.
(ii) Find the exact solutions of the equation
$$4 - x ^ { 2 } = | 2 x - 1 |$$