0606 P23 - Nov 2025 - Q3 - 9 marks
7033
(a) (i) Write \(x^{2}-x-6\) in the form \((x+a)^{2}+b\) where \(a\) and \(b\) are constants.
(ii) Hence write down the coordinates of the stationary point on the curve \(y=x^{2}-x-6\).
(b) On the axes, draw the graph of \(y=\left|x^{2}-x-6\right|\) for \(-4 \leqslant x \leqslant 4\).
(c) Use your graph to solve the inequality \(\left|x^{2}-x-6\right|\lt 4\).
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