Functions and Graphs
Functions and Graphs
Secondary 3
5 marks
For \(y = -x^2 + 4x + 5\), complete the square.
Hence state the maximum value, its \(x\)-coordinate, the axis of symmetry and both roots.[5]
Solution:
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Answer:\(-(x-2)^2+9\); Maximum value \(9\) at \(x=2\); Axis of symmetry \(x=2\); roots \(x=-1,\ 5\).
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