Answer:
(x, y)--> (x - 5. y + 2)
Explanation:
Given the coordinate (x, y), when transforming the coordinate, up and right, the value of the constant we are using must be added to the coordinate since positive x axis acts towards the right side and the positive y axis acts upwards.
Also, when transforming the coordinate down and left, the value of the constant we are using must be subtracted from the coordinate since negative x axis acts towards the left side and the negative y axis acts downwards.
According to the question, we are to translate the coordinate (x, y) 5 units to the left and 2 units up,
Translating 5 units to the left means the x coordinate will become x--> (x-5)
Translating 2 units up means the y coordinate will become x--> (x+2)
Hence the correct transformation rule will be (x, y)--> (x - 5. y + 2)