The rule as a mapping for the translation of a rectangle is \( (x, y) \rightarrow(x-2, y+7) \). Which describes this translation? a translation of 2 units down and 7 units to the right a translation of 2 units down and 7 units to the left a translation of 2 units to the right and 7 units up a translation of 2 units to the left and 7 units up

This translation moves every point on the rectangle horizontally and vertically. The rule \( (x, y) \rightarrow (x-2, y+7) \) indicates that the x-coordinate is decreased by 2 units (which means left), while the y-coordinate is increased by 7 units (which means up). So, we are looking at 2 units to the left and 7 units up! To remember the rules about transformations, it's helpful to visualize them on a coordinate plane. Imagine you have a rectangle with corners defined by specific coordinates. When you apply the transformation, just move the rectangle according to the changes in the x and y values. In this case, you would shift it left and up in a jiffy, making it easy to see how translations affect shapes!