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+4Write 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.
Find the coordinates of PPP, the maximum turning point.