The point F( – 4, – 1) i rotated 270° counterclockwie around the origin. then The coordinates of the point F' is (-1 ,4 )
Given that the point J(-2,1) is rotated about 270° about the origin.
Coordinates of the resulting point F':
Since, we know that, when rotating a point 270° counterclockwise about the origin, the point (x,y) becomes (y,-x) which means we switch the places of x and y coordinates and make x as negative.
Therefore, the transformation is given by
(x ,y) -> ( y , -x)
Using the above transformation, we have,
(-4 ,-1) ⇒ ( -1 , -(-4)) ⇒ (-1 , 4)
Therefore, the resulting point of the coordinates of the point F' is (-1 ,4)
learn more about of transformation here
https://brainly.com/question/15212200
#SPJ4