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Given the translation T(3, -1), translate the ordered pairs (-3, 6) and (9, -8). choices: (0, 7) and (6, -7) (0, 5) and (12, -9) (0, 4) and (6, 10) (-6, 5) and (12, -9)

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Answer:

The translated ordered pairs are
P_(1)'(x,y) = (0, 5) and
P_(2)' (x,y) = (12, -9).

Explanation:

Vectorially speaking, a translation is defined by the following formula:


P'(x,y) = P(x,y) + T(x,y) (1)

Where:


P(x,y) - Original point.


P'(x,y) - Translated point.


T(x,y) - Translation vector.

If we know that
P_(1)(x,y) = (-3, 6),
P_(2) (x,y) = (9, -8) and
T(x,y) = (3, -1), then the translated points are, respectively:


P_(1)'(x,y) = (-3, 6) + (3,-1)


P_(1)'(x,y) = (0, 5)


P'_(2)(x,y) = (9,-8) + (3, -1)


P_(2)' (x,y) = (12, -9)

The translated ordered pairs are
P_(1)'(x,y) = (0, 5) and
P_(2)' (x,y) = (12, -9).

User Amanda Kitson
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