Question

a rectangle is transformed according to the rule r0, 90º. the image of the rectangle has vertices located at r'(–4, 4), s'(–4, 1), p'(–3, 1), and q'(–3, 4). what is the location of q? (–4, –3) (–3, –4) (3, 4) (4, 3)

Answer 1

In general, geometric objects are rotated counterclockwise.
The center of rotation is origin ( 0, 0 ).
We have coordinates of the image Q` ( - 3, 4 )
Answer:
The location of Q is D ) ( 4, 3 )

Answer 2

Graph images undergo transformations, one of the types of transformations are rotations.
rotation is done when each point of the image rotates 90° around a point in the counterclockwise manner. 
when rotation is done, (x,y) -> (-y,x)
therefore when taking points from image to original then the reverse is done ;
(-y,x) --> (x,y)
the coordinates of  image point q' is (-3,4)
before rotation then the coordinates are (4,3)
answer is (4,3)