Let \(f(x)\) be an even function defined for all real numbers \(x,\) and let \(g(x) = f(x + 3) - 5.\) You are told that the graph of $y = g(x)$ passes through the point \((2,-2)\). Then the graph of \(y=g(x)\) must also pass through the point \((a,b).\) . Find \((a,b).\)
