Question

hexagon defghi is translated 8 units down and 3 units to the right. if the coordinates of the pre - image of point f are (-9, 2), what are the coordinates of f?
○ (-17, 5)
○ (-6, -6)
○ (-17, -1)
○ (-12, -6)

Explanation:

Step1: Recall translation rules

For a translation, moving right/left affects the x - coordinate (right is +, left is -) and moving up/down affects the y - coordinate (up is +, down is -). Here, we translate 3 units right (so add 3 to x - coordinate) and 8 units down (so subtract 8 from y - coordinate).

Step2: Calculate new x - coordinate

The pre - image x - coordinate is - 9. After moving 3 units right, the new x - coordinate is $-9 + 3=-6$.

Step3: Calculate new y - coordinate

The pre - image y - coordinate is 2. After moving 8 units down, the new y - coordinate is $2-8 = - 6$.

Answer:

(-6, -6) (Option B)