f(x)=2x2+12x+5f(x) = 2x^2 + 12x + 5f(x)=2x2+12x+5
Show that
f(x)=2(x+3)2−13 f(x) = 2(x + 3)^2 - 13 f(x)=2(x+3)2−13Hence find the values of the constants aaa, b b\,b and c c\,c such that
f(x)=a(x+b)2+c f(x) = a(x + b)^2 + c f(x)=a(x+b)2+c211 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.