Which of the following compositions will map the red figure onto the blue figure?

a.(o,-6). ra,270
b(0,-6)ra.90
c(a.90.t(0,-2)
d. t(0,-2).ra270

Point A is translated to A" by T(0, -6), since A has been shifted 6 units down

check the picture, the translated triangle is A"'B"'C"'.

clearly the angle between B"'A"' and B"A"' is 90 degrees, so we can complete the transformation by a 90° clockwise rotation or a 270° counterclockwise rotation.

from the choices given, we see that is is a 270° counterclockwise  rotation.

 A.(o,-6). Ra,270