Question

Start with the point A (3, 1). Translate the point 1 unit to the left and 4 units down. What are the new coordinates of the point A’? Now translate A’ 3 unit to the left and 2 units up. What are the new coordinates of the point A’’? What translation would need to be made in order for the result to be the original point A (3, 1)?

Answer 1

This is the transformations: See the picture, here we find the coordinate:

A' = (2,-3) and A''=(0.5,-2). There is many ways to get back to A from A'', i have showed one way (the red lines). This is done by going 5 units right and then 6 units up.

see image at https://imgur.com/a/fWQl8