y = a(x-h)^2 + k is vertex form. Where h represents horizontal translation, k represents the vertical translation and a represents the stretch of the parabola and whether it is concave or convex.
Y = -3(x-3)^2 - 3 is the equation in your case. Since 'a' is negative 3 we know that the parabola will be concave (facing downwards). So it must be c, b or d. Now since 'h' is -3 the parabola is translated horizontally 3 units to the right. And since 'k' is -3 the parabola is translated downwards 3 units.
With this information we can conclude that the answer is (b). Because the coordinates of its vertex is (3,-3). If you need further explanation please don't hesitate to ask.
