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

A; x=-2 (y+3) ^2-2

B; x=-2 (y-2) ^2-2

C; x=-2 (y-2) ^2-3

D; x=-2 (y+2) ^2-3

The general vertex equation of a parabola is

x = a (x - h) ^2 + k where (h, k) is the coordinates of the vertex.

here h = - 3 and k = - 2

so

x = - 2 (y - (-3) - 2 is the vertex equation

simplifyIng it is

x = - 2 (y + 3) ^2 - 2

Its A