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.
302 exam-style questions on WJEC A Level Maths 1.2 Algebra and Functions, covering 1.2.1 Algebra and Functions, 1.2.2 Algebra and Functions, 1.2.3 Algebra and Functions, 1.2.4 Algebra and Functions, 1.2.5 Algebra and Functions, 1.2.6 Algebra and Functions, 1.2.7 Algebra and Functions, 1.2.8 Algebra and Functions, 1.2.9 Algebra and Functions, 1.2.10 Algebra and Functions, 1.2.11 Algebra and Functions, and 1.2.12 Algebra and Functions. Each one has a worked solution and a mark scheme showing where the marks go.