To determine the value of k, we need to compare the graphs of f(x) and g(x) and find a relationship between them.
From the given information, we know that the vertex of g(x) is located at (3, -3), which means the vertex of f(x) is located at (3, -3-k).
Next, we can see that the point (-3, 0) lies on the graph of g(x), which means the corresponding point on f(x) is (-3, 0-k).
Using the information about the vertex and this corresponding point, we can determine the value of k.
If we substitute (-3, 0) into the equation of f(x), we get f(-3) = 0-k, which means f(-3) = -k.
Since the graph of f(x) passes through the point (-3, 0), f(-3) = 0. Therefore, we have 0 = -k.
Solving for k, we find k = 0.
So, the value of k is 0.