SPS SPS FM 2022 November — Question 7

Exam BoardSPS
ModuleSPS FM (SPS FM)
Year2022
SessionNovember
TopicModulus 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 $$4 - x ^ { 2 } = | 2 x - 1 |$$ [BLANK PAGE]