You can
put this solution on YOUR website!find the coordinates of the vertex. and then sketch the graph...
the problem is:
y=x^2+6x+12
You have a quadratic with a=1, b=6
The vertex is at x=-b/2a=-6/2=-3
The y value when x=-3 is (-3)^2+6*(-3)+12 = 3
The vertex is at (-3,3)
------------------------

----------
Cheers,
Stan H.