Answer
Please see the graph.
Work Step by Step
$x^2+3 =g(x)$
vertex and line of symmetry:
$x=-b/2a$
$x=0/2*1 = 0$
$x=0$
$g(0) = 0^2+3$
$g(0) = 0+3 = 3$
$(0,3)$
One other point on the curve:
$x=1$
$g(1)= 1^2+3$
$g(1) = 1+3 =4$
$(1,4)$