Question

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)

Answer 1

Answer:

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

Step-by-step 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 $P_{2}' (x,y) = (12, -9)$.