Answer:
A'(-7,5)
B'(-2,5)
C'(-5,8)
Explanation:
What your supposed to do is translate the triangle by the rule that it gives you.
That rule is (x,y) -> (x-2, y+4). This rule means, move 2 to the left and move 4 up.
Now, the original coordinates of the triangle are..
A(-5,1)
B(0,1)
C(-3,4)
So, subtract 2 to each x coordinate and add 4 to each y coordinate.
(-5-2, 1+4) ----> (-7,5)
(0-2, 1+4) ----> (-2,5)
(-3-2, 4+4) ----> (-5, 8)
This leaves you with the new coordinates that have been translated.
A'(-7,5)
B'(-2,5)
C'(-5,8)