None. The vertices, the scale factor as well as the centre of dilation can each be defined independently of the other two. Each different combination will result in a different image.
center
By using Pythagoras' theorem.
Geometric dilation (size change, typically expansion) does not change the shape of a figure, or its center location, only the size.
If the original point was (-4, 12) then the image is (-16, 48).
the point that is equidistant from all vertices of a polygon.
center center
Center
center
Center and Scale Factor....
By using Pythagoras' theorem.
it is nothing
Negative
It remains fixed in position and all the other vertices move towards or away from it depending on whether the scale factor is less than 1 or greater than one.
Geometric dilation (size change, typically expansion) does not change the shape of a figure, or its center location, only the size.
Mass is uniformly distributed about its center of mass.
It depends on the nature of the problem. If, for example, the problem is to calculate 2+3, then the centre of dilation will have no effect whatsoever!
The center of a hyperbola is the point halfway between its foci. A hyperbola is defined as a symmetrical open curve formed by the intersection of a circular cone with a plane at a smaller angle with its axis than the side of the cone.