Which equation represents the parabola shown in the accompanying graph?

The answer is C) f(x) = -(x + 3)^2 + 1.

The vertex of the graph is -3, 1
The vertex of f(x) = -(x + 3)^2 + 1 can be seen by taking the negative form of the second term in parenthesis and the number added afterwards outside of the parenthesis. This will also be -3, 1.

Hope this helps!!