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 translation rule

The rule is $(x,y)\to(x + 2,y - 8)$.

Step2: Apply the rule to the pre - image coordinates

Given pre - image of point B has coordinates $(4,-5)$. For the x - coordinate of the image $B'$, we calculate $x+2$: $4 + 2=6$. For the y - coordinate of the image $B'$, we calculate $y - 8$: $-5-8=-13$. So the coordinates of $B'$ are $(6,-13)$.

Answer:

D. (6, -13)