Question

PLEASE HELP WORTH 20points!!

Answer 1

It's the first choice above.  The center of the circle of the first choice is (-2, 6). In order to get from there to the center, you have to go right 2 and down 6, which are your given translations.  None of the other translations bring the given centers to the origin. For example, the center of the second circle is (1, -2).  In order to get from there to the center you have to go left 1 and up 2, but the translations they give are left 2 and DOWN 2, which is incorrect if you want to get to the origin.  The only correct one is the first one.