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 \(3\) units to the right, add \(3\) to the x - coordinate.
Given the pre - image \(x=-9\), then \(x'=-9 + 3=-6\)

Step2: Translate the y - coordinate

For a translation \(8\) units down, subtract \(8\) from the y - coordinate.
Given the pre - image \(y = 2\), then \(y'=2-8=-6\)

Answer:

\((-6,-6)\)