Question

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

Answer 1

see below

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