The given points are (1,3) and (2,6).
The pre-image is (1,3) and the image is (2,6).
As you can observe, the image is double than the pre-image, this means the transformation used was a dilation with a scale factor of 2, the rule is
![OT\colon(x,y)\rightarrow(2x,2y)](https://img.qammunity.org/2023/formulas/mathematics/high-school/v3xro06tabd9ikadm9pbstsdsipwjpy63l.png)
Therefore, the right answer is the first choice.