Answer: The co-ordinates of the point P after transformation are (4, -3).
Step-by-step explanation: Given that a point P(-4, -3) is rotated Point P(−3, −4) is rotated 90° counterclockwise about the origin.
We are given to find the co-ordinates of its image after the transformation.
We know that,
If a point (x, y) is rotated 90° counterclockwise about the origin, then its co-ordinates after the transformation becomes
(x, y) ⇒ (-y, x).
Therefore, if P changes to P' after the transformation, then co-ordinates of the point P' will be
P(-3, -4) ⇒ P'(4, -3).
Thus, the co-ordinates of the point P after transformation are (4, -3).
