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 \(-\)).

Step2: Calculate new \(x\)-coordinate

The pre - image \(x\)-coordinate is \(-9\), and we move 3 units to the right. So the new \(x\)-coordinate is \(-9 + 3=-6\).

Step3: Calculate new \(y\)-coordinate

The pre - image \(y\)-coordinate is \(2\), and we move 8 units down. So the new \(y\)-coordinate is \(2-8 = - 6\).

So the coordinates of \(F\) are \((-6,-6)\).

Answer:

B. \((-6, -6)\)