Question

write the coordinates of the vertices after a translation 6 units left and 1 unit up.
s( , )
t( , )
u( , )

Explanation:

Step1: Identify original coordinates

Original vertices: $U(-1, 0)$, $S(-3, 0)$, $T(-3, 9)$

Step2: Apply translation rule

Translation: $(x,y) \to (x-6, y+1)$
For $U'$: $\boldsymbol{(-1-6, 0+1) = (-7, 1)}$
For $S'$: $\boldsymbol{(-3-6, 0+1) = (-9, 1)}$
For $T'$: $\boldsymbol{(-3-6, 9+1) = (-9, 10)}$

Answer:

$S'(-9, 1)$
$T'(-9, 10)$
$U'(-7, 1)$