Answer:
The image of point (2 , -1) is (-3 , 2)
Step-by-step explanation:
* Lets revise the translation
- The point (x , y) can translated horizontally or vertically
- If it's translate horizontally we add or subtract the x-coordinate
# (x - h , y), the point is translated h units to the right
# (x + h , y), the point is translated h units to the left
- If it's translated Vertically we add or subtract the y-coordinate
# (x , y + k), the point is translated k units up
# (x , y - k), the point is translated k units down
* Lets solve the problem
∵ The point (2 , -1)
∵ The transformation Is T (-5 , 3)
- T means translate
- (-5) means translate it to the left 5 units
- (3) means translate it 3 units up
∴ The image of (2 , -1 ) is (2 + -5 . -1 + 3) = (-3 , 2)
* The image of point (2 , -1) is (-3 , 2)
