Which is the graph of the function fx=x^2+2x+3​

see below

Step-by-step explanation:

fx=x^2+2x+3​

This is a parabola that opens upward

f(x) = (x^2 +2x)+3

     = (x^2+2x+1) +3-1

   = (x+1)^2 +2

This is in vertex form  y =a(x-h)^2 +h where the vertex is (h,k)

This has a vertex as (-1,2)

And has a y intercept at (0,3)

this does not cross the x axis

the two may have that, even a breakdown is probably offered

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)