Question

the rule as a mapping for the translation of a rectangle is (x, y) → (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

Explanation:

In a coordinate - plane, for a point $(x,y)$, when the $x$ - value changes to $x - 2$, it means the point moves 2 units to the left (since subtracting from the $x$ - coordinate moves the point horizontally to the left). When the $y$ - value changes to $y + 7$, it means the point moves 7 units up (since adding to the $y$ - coordinate moves the point vertically up).

Answer:

a translation of 2 units to the left and 7 units up