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 have a pre - image point \((x,y)=(-9,2)\), and we translate 8 units down (so \(y\) - coordinate changes by - 8) and 3 units to the right (so \(x\) - coordinate changes by + 3).

Step2: Calculate new x - coordinate

The new x - coordinate \(x_{new}=x + 3\). Substituting \(x=-9\), we get \(x_{new}=-9 + 3=-6\).

Step3: Calculate new y - coordinate

The new y - coordinate \(y_{new}=y-8\). Substituting \(y = 2\), we get \(y_{new}=2-8=-6\).

Answer:

\((-6,-6)\) (corresponding to the option: \(\boldsymbol{(-6, - 6)}\))