Answer:
[tex](x,y)\rightarrow (kx,ky)[/tex]
Step-by-step explanation:
A dilation is an enlargement or reduction of an object by a scale factor and with a center of dilation. The scale factor refers to the change in size. The center of dilation is a point about which we are dilating an object.
The dilation with the center of dilation at the origin and a scale factor of k has the rule
[tex](x,y)\rightarrow (kx,ky)[/tex]
This means that the image of the point with coordinates (x,y) after the dilation by a scale factor of k with center of dilation at origin will have coordinates (kx,ky).