Question

if a translation of ((x, y) \to (x + 6, y - 10)) is applied to figure (abcd), what are the coordinates of (d)?
(\bigcirc) ((-5, -2))
(\bigcirc) ((1, -12))
(\bigcirc) ((4, -1)) (note: there may be a display error here, original might be ((4, -12)) or other)
(\bigcirc) ((-9, -6))

Explanation:

Step1: Identify coordinates of D

From the graph, $D = (-5, -2)$

Step2: Apply translation rule

Use $(x, y) \to (x + 6, y - 10)$:
$x' = -5 + 6 = 1$
$y' = -2 - 10 = -12$

Answer:

B. (1, -12)