Answer:
[tex]y=x^{2}+3[/tex]
Step-by-step explanation:
we know that
The equation of a vertical parabola in vertex form is equal to
[tex]y=a(x-h)^{2}+k[/tex]
where
(h,k) is the vertex
In this problem we have the vertex at point (0,3)
substitute
[tex]y=a(x-0)^{2}+3[/tex]
[tex]y=ax^{2}+3[/tex]
therefore
The option [tex]y=x^{2}+3[/tex] is the answer
In this case the coefficient a is equal to 1