Question

if a translation of (x, y) → (x + 6, y - 10) is applied to figure abcd, what are the coordinates of d? (-5, -2) (1, -12) (4, -15) (-9, -6)

Explanation:

Step1: Identify original coordinates of D

From the graph, the coordinates of point D are (-5, -2).

Step2: Apply the translation rule

The translation rule is $(x,y)\to(x + 6,y - 10)$. For point D with $x=-5$ and $y = - 2$, the new x - coordinate is $x'=-5 + 6=1$, and the new y - coordinate is $y'=-2-10=-12$.

Answer:

(1, -12)