Respuesta :

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