Question 117550
y=x^2+6x+4
=x^2+6x  +4
=x^2+6x+9+4-9 complete the square by dividing 6 by 2 and squaring the result.
=(x+3)^2-5
y=a(x-h)^2+k
So, a=1 h=-3 and k=-5 and the vertex=(-3,-5)
.
Ed
{{{graph(500,500,-10,10,-10,10,x^2+6x+4)}}}