A curve C C\,C has equation y=f(x)y = f(x)y=f(x) where
f(x)=−3x2+18x+4 f(x) = -3x^2 + 18x + 4 f(x)=−3x2+18x+4Write 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.
Find the coordinates of PPP, the maximum turning point.
Practise Edexcel A Level Maths Quadratics with exam-style questions for A Level Maths. 25 questions covering 2.1 Solving Quadratics, 2.2 Completing the Square, 2.3 Sketching Quadratic Graphs, 2.4 The Discriminant, and 2.5 Modelling with Quadratics, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
