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+4Show that f(x)=−3(x−3)2+31f(x) = -3(x-3)^2 + 31f(x)=−3(x−3)2+31.
Verify that the coordinates of PPP, the maximum turning point, are (3,31)(3, 31)(3,31).
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.