1. The graph of $y = f(x)$ is a parabola whose vertex is at $(1, -2)$. The graph of $y = f(x - 3)$ is also a parabola. Where is the vertex of the graph of $y = f(x-3)$?
2. The graph of $y = f(x)$ has the line $x = 5$ as an axis of symmetry. The graph also passes through the point $(8,-7).$ Find another point that must lie on the graph of $y = f(x).$