Answer:
D, E
Step-by-step explanation:
Each vector represents the horizontal and vertical translation amounts:
[tex]\left[\begin{array}{c}\text{translation right}\\\text{translation up}\end{array}\right][/tex]
Translation left or down will result in negative values for the corresponding translation amounts.
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We can consider only the lower-left corner to determine the amount of translation.
A ⇒ B
horizontal: 1 to -4, so -4-1 = -5 units
vertical: 2 to 0, so 0 -2 = -2 units
The translation vector is ...
[tex]\left[\begin{array}{c}\text{-5}\\\text{-2}\end{array}\right]\qquad\text{matches choice D}[/tex]
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B ⇒ C
horizontal: -4 to -1, so -1 -(-4) = -1 +4 = 3 units
vertical: 0 to -4, so -4 -0 = -4 units
The translation vector is ...
[tex]\left[\begin{array}{c}\text{3}\\\text{-4}\end{array}\right]\qquad\text{matches choice E}[/tex]
