Answer:
The coordinates of P' are [tex]P'(x,y) = (1, 0)[/tex].
Step-by-step explanation:
The coordinates of the point P' is determined by the following expression:
[tex]P'(x, y) = P(x,y) + T(x,y)[/tex] (1)
Where:
[tex]P(x,y)[/tex] - Original point.
[tex]P'(x,y)[/tex] - Translated point.
[tex]T(x,y)[/tex] - Translation vector.
If we know that [tex]P(x,y) = (3, -3)[/tex] and [tex]T(x,y) = (-2, 3)[/tex], then the coordinates of point P':
[tex]P'(x,y) = (3, -3) + (-2, 3)[/tex]
[tex]P'(x,y) = (1, 0)[/tex]
The coordinates of P' are [tex]P'(x,y) = (1, 0)[/tex].