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 transformation

Given the rule $(x,y)\to(x + 2,y - 8)$ and $x = 4$ for point B. Calculate the new x - coordinate: $x'=4 + 2$.
$x'=6$

Step2: Identify y - coordinate transformation

Given $y=-5$ for point B. Calculate the new y - coordinate using the rule: $y'=-5-8$.
$y'=-13$

Answer:

D. $(6, - 13)$