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1 Unit 1: Pure Mathematics A

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Question 234

A curve C C\,C has equation y=f(x)y = f(x)y=f(x), where f(x)=−3x2+18x+4f(x) = -3x^2 + 18x + 4f(x)=−3x2+18x+4

a.

Express f(x)f(x)f(x) in the form a(x+b)2+ca(x + b)^2 + ca(x+b)2+c, where aaa, b b\,b and c c\,c are constants to be found.

[3]
b.

Write down the coordinates of the maximum turning point of CCC.

[2]
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1 Unit 1: Pure Mathematics A Questions

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