Answer: Location of point A’ is (2, -4). Location of point B’ is (1, 3). Location of point C’ is (-5, 6).
Points on a graph are represented with coordinates (x, y). The x-axis is horizontal (left right) and the y-axis is vertical (up down).
Moving down is to the negative direction, moving up is positive. Moving left is to the negative direction, moving right is positive.
Point A is at (-7,-7). To translate 9 units right and 3 units up, use addition.
A’ : (-7 + 9, -7 +3)
A’ is (2, -4).
Point B is at (7,-3). To move 6 left and 6 up, use subtraction and addition.
B’ : (7 - 6, -3 + 6)
B’ is (1, 3).
Point C is at (3,8). To move 8 left and 2 down, use subtraction.
C’ : (3 - 8, 8 - 2)
C’ is (-5, 6).
Also see the photo for the points on the graph: