Question

the image (green) is the result of a transformation on the pre - image (blue). which transformation would accomplish this? figure e figure f a translation 4 units right and 1 unit up a translation 1 unit right and 4 units up a translation 4 units left and 1 unit down a translation 1 unit left and 4 units down

Explanation:

Step1: Observe x - coordinate change

Pick a vertex of Figure E, say the left - most vertex. Its x - coordinate in Figure E is around - 5. In Figure F, the corresponding vertex has x - coordinate around - 1. The change in x - coordinate is $-1-(-5)=4$, which means 4 units to the right.

Step2: Observe y - coordinate change

The y - coordinate of the same vertex in Figure E is around 2. In Figure F, it is around 3. The change in y - coordinate is $3 - 2=1$, which means 1 unit up.

Answer:

A. A translation 4 units right and 1 unit up