The vertex of this parabola is at (-2,5) which of the following could be its equation (apex)

Option D.

Step-by-step explanation:

we know that

The equation of a vertical parabola in vertex form is equal to

where

(h,k) is the vertex of the parabola

If a> 0 then the parabola open up and the vertex is a minimum

If a< 0 then the parabola open down and the vertex is a maximum

In this problem the vertex is the point (-2,5)

so

the equation must be equal to

and the value of a is positive

therefore

the answer is the option D