5. (x, y) --- (x, y)
in scale factor

A)(x, y) → (x - 3, y + 5); scale factor 3/8

Step-by-step explanation:

What we know:

Circle A has a center at (2,0) and a radius of 8

Circle A' has a center at (-1,5) and a radius of 3

What we need to find: 

we need to find the transformation from the center point of A to A' and the scale factor 

Circle A can be mapped to Circle A'

center point translation (x,y)⇒[(x+a),(y+b)]⇒(x-3, y+5)

2+a=-1                                      0+b=5

-2+2+a=-1-2                                  b=5

a=-3

scale factor is 3/8

8x=3

8/8x=3/8

x=3/8

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