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0606 P11 - Nov 2018 - Q4 - 7 marks
8483

(i) Write \(x^2-9x+8\) in the form \((x-p)^2-q\), where \(p\) and \(q\) are constants.

(ii) Hence write down the coordinates of the minimum point on the curve \(y=x^2-9x+8\).

(iii) Sketch the graph of \(y=\left|x^2-9x+8\right|\), showing the coordinates of the points where the curve meets the coordinate axes.

(iv) Write down the value of \(k\) for which \(\left|x^2-9x+8\right|=k\) has exactly 3 solutions.

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