The vertex of this parabola is at (-3 - 2) which of the following could be its equation

Unfortunately, you have not shared the possible answer choices.

However, if the vertex of this parabola is known to be (-3, - 2), then one form of the equation of this parabola would be:

y+2 = a (x+3) ^2, where a is a constant. This follows the form y-k = a (x-h) ^2.