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
Complete the square for f(x)f(x)f(x), explicitly determining the three constants in a(x+b)2+ca(x+b)^2+ca(x+b)2+c.
Write down the coordinates of the maximum turning point of CCC.
8 exam-style questions on OCR A Level Maths 1.2.5 Completing the square. Each one has a worked solution and a mark scheme showing where the marks go.