D.O. wrote: Hello, I would like to post a question of the day to get people's minds thinking. The subject is Transformations and Mapping Functions. Here is the question:

Triangle CDF is reflected across the line y=x+3.00 resulting in image C'D'F'.

Mirror Line: y=x+3.00

Coordinates:

C: (3.00, 3.00) C': (0.00, 6.00)

D: (6.00, 4.00) D': (1.00, 9.00)

F: (4.00, -2.00) F': (3.00, 12.00)

Figure out the mapping rule for the transformation being performed. i.e: the mapping rule for a translation up 4 and left 2 would be (x,y) *arrow right* (x-2,y+4). Please repost this with your answers. *Hint: the answers are closer than they appear, don't blind yourself from the straight and simple truth. Good luck!

Well the problem is your coordinates are wrong. The F' should be (-5,7) see diagram below:

And since its reflected in a line of slope 1 with a y intercept of 3 you get the transformation is (y-3,x+3) so (3,3) = (0,6)