Given f(x)=2x2+8x+1f(x)=2x^2+8x+1f(x)=2x2+8x+1, find constants aaa, b b\,b and c c\,c such that f(x)=a(x+b)2+cf(x)=a(x+b)^2+cf(x)=a(x+b)2+c.