start by writing the equation in standard form
[tex]\begin{gathered} y=x^2+4x+5x+20 \\ y=x^2+9x+20 \end{gathered}[/tex]find the vertex of the equation (h,k), in which
[tex]\begin{gathered} h=(-\frac{b}{2a}) \\ k=f(-\frac{b}{2a}) \end{gathered}[/tex]find h
[tex]\begin{gathered} h=-\frac{9}{2\cdot1} \\ h=-4.5 \end{gathered}[/tex]find the value of k
[tex]\begin{gathered} k=(-4.5)^2+9\cdot(-4.5)+20 \\ k=-0.25 \end{gathered}[/tex]after having the vertex, write the equation in vertex form
[tex]y=(x+4.5)^2-0.25[/tex]