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: Translate the x - coordinate

For a translation of 3 units to the right, add 3 to the x - coordinate.
If the original x - coordinate is \(x=-9\), then the new x - coordinate \(x'=-9 + 3=-6\)

Step2: Translate the y - coordinate

For a translation of 8 units down, subtract 8 from the y - coordinate.
If the original y - coordinate is \(y = 2\), then the new y - coordinate \(y'=2-8=-6\)

Answer:

\((-6,-6)\) (the second option)