A curve C C\,C has equation y=f(x)y = f(x)y=f(x), where f(x)=5+8x−2x2f(x) = 5 + 8x - 2x^2f(x)=5+8x−2x2
Express 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.
Write down the coordinates of the maximum turning point of CCC.
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.