Question

graph the image of rectangle stuv after a translation 7 units left.

Explanation:

Step1: Identify original coordinates

$S(-2, 8), V(-2, 10), T(8, 8), U(8, 10)$

Step2: Apply translation rule

For left translation: $(x,y)\to(x-7,y)$
$S': -2-7=-9, y=8 \implies (-9,8)$
$V': -2-7=-9, y=10 \implies (-9,10)$
$T': 8-7=1, y=8 \implies (1,8)$
$U': 8-7=1, y=10 \implies (1,10)$

Step3: Plot new points, connect to form rectangle

Plot $(-9,8), (-9,10), (1,8), (1,10)$ and connect them.

Answer:

The image of rectangle STUV has vertices at $S'(-9, 8)$, $V'(-9, 10)$, $T'(1, 8)$, $U'(1, 10)$. When these points are plotted and connected, they form the translated rectangle 7 units left of the original.