What is y=x^2+5x+4 written in vertex form
$$\begin{array}{rll} y&=&x^2+5x+4\\ y-4&=&x^2+5x\\ y-4+(5/2)^2&=&x^2+5x+(5/2)^2\\ y-4+25/4&=&x^2+5x+25/4\\ y+2.25&=&(x+5/2)^2\\ (x+2.5)^2&=&y+2.25\\ \end{array}\\\\ vertex\;\;(-2.5,-2.25)$$