What are the coordinates of the image of (−4,5)

Question

under the translation (x,y)→(x−3,y+5) ?

Answer 1

To find the image of the point (-4,5) under the given translation:

1. Subtract 3 from the x-coordinate of (-4,5) to obtain the new x-coordinate:
-4 - 3 = -7

2. Add 5 to the y-coordinate of (-4,5) to obtain the new y-coordinate:
5 + 5 = 10

Therefore, the image of (-4,5) under the translation (x,y) → (x-3,y+5) is (-7,10).