To find the image of point A(1, -1) after a translation, we need to know the direction and distance of the translation. Without this information, we cannot determine the exact image of point A.
However, we can provide a general explanation of how a translation works. In a translation, every point is moved a certain distance in a specific direction. The direction is determined by the vector indicating the displacement, and the distance is determined by the magnitude of that vector.
For example, if we know that point A(1, -1) is translated 10 units to the left and 10 units down, we can determine the image of point A(1, -1) as A'(1 - 10, -1 - 10), which simplifies to A'( -9, -11).
Therefore, the image of point A(1, -1) after a translation depends on the specific direction and distance of the translation. Without this information, we cannot provide an exact answer, but we can explain the general concept of a translation. ;0