Question

Circle 1 has center (−4, 5) and a radius of 6 cm. Circle 2 has (2, −3) and a radius 9 cm.

Answer 1

First translate the circle from (-4,5) to (2,-3) [ a translation of (+6, -8) ] by the transformation rule
(x,y)->(x+6, y-8)
the scale factor would be the ratio of the radii of image (circle 2) divided by that of preimage (circle 1)
=9/6=3/2