okay so the question is:

A unit circle center at the origin undergoes a series of transformations. The equation of the resulting graph is (x-3)^2+ (y+4)^2= 25 describe the transformation the unit circle underwnt

Answer:
The original circle was centered at the origin and had radius 1
The new circle is centered at (3,-4)and has radius 5.
The unit circle was moved 3 units to the right and 4 units down,and dilated (enlarged) by a factor of 5.

is this right????

Correct.