Question

write the coordinates of the vertices after a translation 6 units right and 1 unit up.
q(\t,\t)
r(\t,\t)
s(\t,\t)

Explanation:

Step1: Identify original coordinates

Assume $Q(-8,-7)$, $R(1,-7)$, $S(-7,-3)$.

Step2: Apply translation rule for x - coordinate

For a translation 6 units right, add 6 to the x - coordinate of each point.
$Q_x=-8 + 6=-2$, $R_x=1 + 6=7$, $S_x=-7+6=-1$.

Step3: Apply translation rule for y - coordinate

For a translation 1 unit up, add 1 to the y - coordinate of each point.
$Q_y=-7 + 1=-6$, $R_y=-7 + 1=-6$, $S_y=-3+1=-2$.

Answer:

$Q'(-2,-6)$
$R'(7,-6)$
$S'(-1,-2)$