A building which represents a translation from its original placement is House C.
What is a transformation?
In Mathematics, a transformation can be defined as the movement of a point from its original (initial) position to a final (new) location. This ultimately implies that, when an object is transformed, all of its points would be transformed as well.
The types of transformation.
Generally, there are different types of transformation and these include the following:
By critically observing the graph for the transformation of this buildings, we can logically deduce that House C' is translated based on this rule:
(x, y) → (x + 3, y).
Final location = [((4 + 3), -2), ((4 + 3), 5), ((6 + 3),-5), ((6 + 3), -7), ((8 + 3), -7) and ((8 + 3), -2)]
Final location = (7, -2), (7, 5), (9,-5), (9, -7), (11, -7), and (11, -2).
In conclusion, a building which represents a translation from its original placement is House C.
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