A curve C C\,C has equation y=f(x)y = f(x)y=f(x) where
f(x)=−5x2+30x+7 f(x) = -5x^2 + 30x + 7 f(x)=−5x2+30x+7Write 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.
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.