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

Explanation:

Step1: Analyze x - coordinate change

The x - coordinate changes from \(x\) to \(x - 2\). A subtraction of 2 from the x - coordinate means moving 2 units to the left on the x - axis.

Step2: Analyze y - coordinate change

The y - coordinate changes from \(y\) to \(y + 7\). An addition of 7 to the y - coordinate means moving 7 units up on the y - axis.

Answer:

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