Question

Point
\[P'\] is the image of
\[P(5,-5)\] under a translation by
\[2\] units to the left and
\[5\] units up.
What are the coordinates of
\[P'\]?

Answer 1

To find the coordinates of \(P'\), we need to apply the translation to the coordinates of \(P(5,-5)\).

Moving 2 units to the left means subtracting 2 from the x-coordinate.
Moving 5 units up means adding 5 to the y-coordinate.

Therefore, the coordinates of \(P'\) are \((5-2, -5+5) = \boxed{(3,0)}\).