Question

write the coordinates of the vertices after a translation 6 units left and 2 units down.
r(, )
s(, )
r(, )

Explanation:

Step1: Identify original coordinates

Original vertices: $R(-1, -2)$, $S(4, 4)$, $T(3, 4)$

Step2: Apply translation rule

Translation: $(x,y)\to(x-6,y-2)$
For $R'$: $(-1-6, -2-2)=(-7, -4)$
For $S'$: $(4-6, 4-2)=(-2, 2)$
For $T'$: $(3-6, 4-2)=(-3, 2)$

Answer:

$R'(-7, -4)$
$S'(-2, 2)$
$T'(-3, 2)$