Question

write the coordinates of the vertices after a translation 3 units left.

Explanation:

Step1: Identify original coordinates

$T(2,4), U(6,4), V(6,7), W(2,7)$

Step2: Apply left - translation rule

Subtract 3 from x - coordinates.
$T'(2 - 3,4)=(-1,4)$
$U'(6 - 3,4)=(3,4)$
$V'(6 - 3,7)=(3,7)$
$W'(2 - 3,7)=(-1,7)$

Answer:

$T'(-1,4)$
$U'(3,4)$
$V'(3,7)$
$W'(-1,7)$