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

When translating a point \( (x,y) \) \( a \) units to the right, we use the rule \( x'=x + a \). Here \( a = 3 \) and \( x=-9 \), so \( x'=-9+3=-6 \).

Step2: Translate the y - coordinate

When translating a point \( (x,y) \) \( b \) units down, we use the rule \( y'=y - b \). Here \( b = 8 \) and \( y = 2 \), so \( y'=2-8=-6 \).

Answer:

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