First, find the equation for f(x). It is a V shaped graph, so we know f(x) is an absolute value function. We need to figure out what transformations were made to f(x), so let's compare it to its parent function:
parent: abs(x)
f(x) = abs(x-3) + 2
Next, check what transformations were made to g(x). We move to the left 4, and down 7.
g(x) = f(x+4) - 7