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Question
graph the image of triangle efg after a translation 8 units down.
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Step1: Identify original coordinates
Original points: $E(-1, 3)$, $F(8, 3)$, $G(0, 0)$
Step2: Apply translation rule
Translation 8 units down: subtract 8 from $y$-coordinate.
New $E$: $(-1, 3-8)=(-1, -5)$
New $F$: $(8, 3-8)=(8, -5)$
New $G$: $(0, 0-8)=(0, -8)$
Step3: Plot new points
Plot $(-1, -5)$, $(8, -5)$, $(0, -8)$ and connect.
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The vertices of the translated triangle are $E'(-1, -5)$, $F'(8, -5)$, $G'(0, -8)$. When these points are plotted and connected, they form the image of triangle $EFG$ after translating 8 units down.