It is given that g(x)=2x2−12x+23g(x) = 2x^2 - 12x + 23g(x)=2x2−12x+23
Express g(x)g(x)g(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.
Hence state the minimum value of g(x)g(x)g(x), and the value of x x\,x at which it occurs.
63 exam-style questions on AQA A Level Maths 1.5.3 Quadratic functions. Each one has a worked solution and a mark scheme showing where the marks go.