Question

(15,-9) is dilated by a scale factor of 3 what is its new location

Answer 1

For this case what you should do is follow the following transformation:
(x, y) ---> k (x, y) ---> (kx, ky)
Applying the transformation to the ordered pair we have:
(15, -9) ---> 3 (15, -9) ---> ((3) * (15), (3) * (- 9)) ----> (45, -27)
Answer:
its new location is:
(45, -27)