Respuesta :
Answer: The required x co-ordinate of point P' is -2.
Step-by-step explanation: Given that the point P(-5, 2) is translated using the following rule :
(x, y) ⇒ (x+3, y−1).
We are to find the x co-ordinate of image point P'.
After the translation (x, y) ⇒ (x+3, y−1), the co-ordinates of point P becomes
P(-5, 2) ⇒ P'(-5+3, 2-1) = P'(-2, 1).
That is, the x co-ordinate is -2 and y co-ordinate is 1.
Thus, the required x co-ordinate of point P' is -2.