Answer:
 Rotation of 180° about the origin.
Step-by-step explanation:
Given :  (x, y)→(−x, −y).
To find : What transformation is represented by the rule.
Solution : We have given that (x, y)→(−x, −y).
By the Rotation  rule of 180° about origin is  (x, y) → (−x, −y).
Coordinates of x change in to  -x  and coordinates of y change in to -y .
Example : is f(x) = ( 2 ,3) if we rotate it 180° about origin then f(x) = (-2,-3).
Therefore, rotation of 180° about the origin.