Circle 1 is centered at (−4,−2) ( − 4 ,   − 2 ) and has a radius of 3 centimeters. circle 2 is centered at (5,3) ( 5 ,   3 ) and has a radius of 6 centimeters. what transformations can be applied to circle 1 to prove that the circles are similar? enter your answers in the boxes.

Circle 2 was dilated by (x+9, y+5) and radius was dilated by a scale factor of 2.

Step-by-step explanation:

Circle 1 is centered at (-4, -2) and has a radius of 3 centimeters.

Circle 2 is centered at (5, 3) and has a radius of 6 centimeters.

If circle 2 is the transformation of circle 1.

Let x and y be the shifting of center (-4, -2) of circle 1.

Therefore, x + (-4) = 5 ⇒ x = 4+5 = 9

and x + (-2) = 3 ⇒ x = 3 + 2 = 5

This reveals (-4, -2) has been shifted by (9, 5)

Since radius of circle 1 is 3cm and radius of circle 2 is 6cm.

Therefore circle 1 has been dilated by a factor of 2 to form circle 2.