vertex (-3,-7)
Explanation
[tex]f(x)=x^2+6x+2[/tex]
Step 1
prepare to complete the square
[tex]\begin{gathered} y=x^2+6x+2 \\ y+?\text{ = (}x^2+6x+\text{ ?) }+2 \\ \\ \end{gathered}[/tex]Step 2
add 9 in both sides
[tex]\begin{gathered} y+9=\mleft(x^2+6x+9\mright)+2 \\ y+9=(x+3)^2+2 \end{gathered}[/tex]Step 3
write in vertex form
[tex]\begin{gathered} y+9=(x+3)^2+2 \\ y+9-2=(x+3)^2 \\ y+7=(x+3)^2 \\ \\ \end{gathered}[/tex]Step 4
the vertex is
(-3.-7)
I hope this helps you
