Question

P'(1,-2) is the image of P after a translation

Answer 1

The coordinates of P are (9, -2).

Algebraically speaking, a translation is defined by the following expression:

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

Where:

• $P(x,y)$ - Original point.
• $P'(x,y)$ - Translated point.
• $T(x,y)$ - Translation vector.

If we know that $P'(x,y) = (1,-2)$ and $T(x,y) = (-8,0)$, then the coordinates of the original point is:

$P(x,y) = P'(x,y) - T(x,y)$

$P(x,y) = (1,-2)-(-8,0)$

$P(x,y) = (9,-2)$

The coordinates of P are (9, -2).

We kindly invite to see this question on translations: brainly.com/question/17485121