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.
37 exam-style questions on Edexcel AS Level Maths Quadratics, 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. Each one has a worked solution and a mark scheme showing where the marks go.