the rule as a mapping for the translation of a rectangle is (x, y) → (x - 2, y + 7). which describes this…

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

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

Answer

Answer:

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

Explanation:

Step1: Analyze x - coordinate change

For the x - coordinate, we have $x\rightarrow x - 2$. Since subtracting from the x - coordinate moves a point to the left on the coordinate plane, a change from $x$ to $x - 2$ means a 2 - unit left - ward translation.

Step2: Analyze y - coordinate change

For the y - coordinate, we have $y\rightarrow y + 7$. Since adding to the y - coordinate moves a point up on the coordinate plane, a change from $y$ to $y + 7$ means a 7 - unit upward translation.