Answer :
x²+2x+3=(x²+2x+1)+2=(x+1)²+2
the graph of x²+2x+3 has a vertex at (-1,2), a symmetry line x=-1, go through the y axis at (0, 3), opening upward above y=2
the graph of x²+2x+3 has a vertex at (-1,2), a symmetry line x=-1, go through the y axis at (0, 3), opening upward above y=2