If figure PQRS is translated 6 units up and 4 units to the left, what are the coordinates of point S′
To translate a point, you add or subtract the same amount from both the x-coordinate and the y-coordinate. In this case, since we are translating 6 units up and 4 units to the left, we subtract 6 from the y-coordinate and subtract 4 from the x-coordinate.
The coordinates of point S are (x, y).
To find the coordinates of point S', we subtract 6 from the y-coordinate and subtract 4 from the x-coordinate.
So, the coordinates of point S' are (x - 4, y - 6).