Given △ABC, use a dilation with the center at the origin to make a similar triangle with side lengths three times as large. What are the coordinates of C' of the image?

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

answer: -2+√x,-2-√x

i hope this , i don't know if you're looking for a pair or not.