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Transcription of this question: 9.[Maximum mark: 15]Let f (x) ax2 + where a, b and c are rational numbers.(a)(b)(c)The point P (—4, 3) lies on the curve Of f. Show thatThe points Q(6, 3) and R (—2, —1) also lie on the curve Of Write down twoOther linear equations in a, b and c.These three equations may be written as a matrix equation in the form AX B ,where X b(i)(ii)(iii)Write down the matrices A and B.Write down AHence or otherwise, find f (x)[2 marks/[2 marks/[8 marks/(d) Write f(x) in the form where a, h and k are rationalnumbers.[3 marks]

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