Question

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

Explanation:

Step1: Identify original coordinates

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

Step2: Apply translation rule

Translation 7 units left: $(x,y)\to(x-7,y)$

• $S': -2-7=-9$, so $S'(-9, 8)$
• $V': -2-7=-9$, so $V'(-9, 10)$
• $U': 8-7=1$, so $U'(1, 10)$
• $T': 8-7=1$, so $T'(1, 8)$

Step3: Plot new vertices

Plot $S'(-9,8)$, $V'(-9,10)$, $U'(1,10)$, $T'(1,8)$ and connect to form the translated rectangle.

Answer:

The translated rectangle has vertices $S'(-9, 8)$, $V'(-9, 10)$, $U'(1, 10)$, $T'(1, 8)$. When plotted and connected, this forms the image of rectangle STUV after translating 7 units left.