| Exam Board | SPS |
| Module | SPS FM (SPS FM) |
| Year | 2022 |
| Session | November |
| Topic | Modulus function |
7. (a) Sketch on the same diagram in the space provided 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.
(b) Find the exact solutions of the equation
$$4 - x ^ { 2 } = | 2 x - 1 |$$
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