| Exam Board | Edexcel |
| Module | AEA (Advanced Extension Award) |
| Year | 2017 |
| Session | Specimen |
| Topic | Modulus function |
2.(a)On separate diagrams,sketch the curves with the following equations.On each sketch you should label the exact coordinates of the points where the curve meets the coordinate axes.
(i)\(y = 8 + 2 x - x ^ { 2 }\)
(ii)\(y = 8 + 2 | x | - x ^ { 2 }\)
(iii)\(y = 8 + x + | x | - x ^ { 2 }\)
(b)Find the values of \(x\) for which
$$\left| 8 + x + | x | - x ^ { 2 } \right| = 8 + 2 | x | - x ^ { 2 }$$