By applying the concept of translation, we conclude that the image point of (1, - 2) is equal to the point (5, - 6).
In this problem we have a point set in a Cartesian plane, which has to be translated to determine the coordinates of a resulting point. Translations are examples of rigid transformations, these are, transformations applied on geometric loci such that Euclidean distance is conserved.
Vectorially speaking, translations are modelled by the following formula:
P'(x, y) = P(x, y) + T(x, y) (1)
Where:
If we know that P(x, y) = (1, - 2) and T(x, y) = (4, - 4), then the resulting point is:
P'(x, y) = (1, - 2) + (4, - 4)
P'(x, y) = (5, - 6)
By applying the concept of translation, we conclude that the image point of (1, - 2) is equal to the point (5, - 6).
To learn more on rigid transformations: https://brainly.com/question/1761538
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