The coordinates of P are (9, -2).
Algebraically speaking, a translation is defined by the following expression:
[tex]P'(x,y) = P(x,y) + T(x,y)[/tex] (1)
Where:
If we know that [tex]P'(x,y) = (1,-2)[/tex] and [tex]T(x,y) = (-8,0)[/tex], then the coordinates of the original point is:
[tex]P(x,y) = P'(x,y) - T(x,y)[/tex]
[tex]P(x,y) = (1,-2)-(-8,0)[/tex]
[tex]P(x,y) = (9,-2)[/tex]
The coordinates of P are (9, -2).
We kindly invite to see this question on translations: https://brainly.com/question/17485121
