Based on the graph, the f(x) graph is the graph of the parent function of a quadratic function which is f(x) = x².
Now, as we can see on the graph, the g(x) graph is basically the same graph but is translated two units to the left of the f(x) graph.
If a graph is translated two units to the left, we are going to add "2" to the "x" variable of the original function.
Therefore, the equation of g(x) is g(x) = (x + 2)². (Option C)