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 x - coordinate rule

Given the translation rule $(x,y)\to(x + 2,y - 8)$ and the pre - image $x$ - coordinate of $B$ is $x = 4$.
The new $x$ - coordinate is $x'=4 + 2$.
$x'=6$

Step2: Identify y - coordinate rule

The pre - image $y$ - coordinate of $B$ is $y=-5$.
The new $y$ - coordinate is $y'=-5-8$.
$y'=-13$

Answer:

E. $(6, - 13)$