The center of rotation will be (0,4). The points are plotted and the center is found with the help of a graph.
It is a point locus drawn equidistant from the center. The radius of the circle is the distance from the center to the circumference.
Given points;
A(1,-3)
A'(3,5)
B(0,0)
B'(4,-6)
C is the center point of rotation.
The given points are plotted on the graph and obtained as the center of rotation will be (0,4).
Hence the center of rotation will be (0,4).
To learn more about the circle, refer to the link: https://brainly.com/question/11833983.
#SPJ1