the vertex of the parabola below is the point (-3,-5). Which of these equations below could be one for this parabola?

The answer is choice (B).
A standard quadratic written in vertex form is:
y = (x - h)^2 + k, where h and k are the x and y coordinates of the vertex.
So, if h is negative (in this case, -3), then it becomes x + 3.
If k is negative, though, (in this case, -5) then it becomes (x + 3)^2 - 5.
Therefore, the answer is (B).