What is the translation rule and the scale factor of the dilation as \(Circle F \to Circle F'\) ?

Enter your answer in the form \(\left(x,y\right)\to \frac{a}{b} \left(x+h,y+k\right)\) where \(a,b,h,\; {\rm and}\; k\) are integers, and in your own words, indicate how you arrived at the answer giving proper steps or justification.

Note:

Please enter your answer on a piece of paper and compare it with the sample answer given or get it graded by your teacher.