Triangle ABC is translated 2 units up and 4 units to the right and is then rotated 180° to produce the image triangle A'B'C'. What are the coordinates of B' in the resulting figure?

Step-by-step explanation:

From the attachment, we have that:

Required

Determine B'

Taking the translation one at a time:

2 units up

This implies, we add 2 to the y value of the function

becomes

4 units right

This implies, we subtract 4 to the x value of the function

becomes

180 degrees rotation

Here; B'(x,y) becomes B'(-x,-y)

So, the initial coordinates

becomes

Hence:

The final coordinates of B' is