Complete the square move the 3 aside and work in parenthasees f(x)=(x^2+6x)+3 take 1/2 of 6 and square it (6/2=3, 3^2=9) add 9 and -9 inside f(x)=(x^2+6x+9-9)+3 factor perfect square f(x)=((x+3)^2-9)+3 get rid of parenthases f(x)=(x+3)^2-9+3 f(x)=(x+3)^2-6
