To find the points that lie on the inverse graph, we need to switch the coordinates of each point.
For a point \((a, b)\) on the original graph, \((b, a)\) will be on the inverse graph.
Let's examine each of the given options:
- \((-1, -4)\): The inverse would be \((-4, -1)\).
- \((1, 4)\): The inverse would be \((4, 1)\).
- \((4, -1)\): The inverse would be \((-1, 4)\).
- \((-4, 1)\): The inverse would be \((1, -4)\).
Since we are looking for the points that would be on the inverse graph, we need to check which of these points corresponds to others based on the original graph.
If we look closely, based on the options available, it appears that the point \((4, -1)\) on the inverse graph corresponds correctly to the original point \((-1, 4)\).
Therefore, the answer is:
- (4, -1) (left parenthesis 4, negative 1 right parenthesis).