The vertex of this parabola is at (-1,-3) which of the following could be its equation a. x = -2(y + 3)2 - 1 b. x = -2(y - 1)2 - 3 c. x = -2(y - 3)2 - 1 d. x = -2(y + 1)2 - 3

                     Option: A is the correct answer.

We know that any general equation of a right or left open parabola is given by:

                           x=a(y-k)^2+h

where if a<0 then the parabola open to the left and if a>0 then the parabola opens right.

Also the vertex of the parabola is: (h,k)

Now here we are given:

Vertex (h,k)=(-1,-3)

Also a= -2 in each of the options.

Hence, we have the equation of parabola as:

Hence, the equation of the parabola is: