A curve C C\,C has equation y=f(x)y = f(x)y=f(x) where
f(x)=−3(x−3)2+31 f(x) = -3(x-3)^2 + 31 f(x)=−3(x−3)2+31Write f(x)f(x)f(x) in the form ax2+bx+cax^2 + bx + cax2+bx+c, where aaa, b b\,b and c c\,c are constants to be found.
Find the coordinates of PPP, the maximum turning point.
211 exam-style questions on Edexcel A 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.