Edexcel AEA 2017 Specimen — Question 2

Exam BoardEdexcel
ModuleAEA (Advanced Extension Award)
Year2017
SessionSpecimen
TopicModulus 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 $$\left| 8 + x + | x | - x ^ { 2 } \right| = 8 + 2 | x | - x ^ { 2 }$$