Question

triangle abc is translated according to the rule (x, y) → (x + 2, y - 8). if the coordinates of the pre - image of point b are (4, - 5), what are the coordinates of b?
(2, 3)
(1, - 9)
(- 3, - 4)
(6, - 13)

Explanation:

Step1: Identify the pre - image coordinates

The pre - image of point B has coordinates $(x = 4,y=-5)$.

Step2: Apply the translation rule for the x - coordinate

The translation rule for the x - coordinate is $x'=x + 2$. Substitute $x = 4$ into it: $x'=4 + 2=6$.

Step3: Apply the translation rule for the y - coordinate

The translation rule for the y - coordinate is $y'=y - 8$. Substitute $y=-5$ into it: $y'=-5-8=-13$.

Answer:

D. $(6, - 13)$