Here is an equation of a transformed circle: \(x^2-6x+y^2+10y+25=0\)

1. Rewrite an equation for the circle by completing the square.
2. What transformations would take the circle \(x^2+y^2=1\) to this transformed circle?
3. What is the center and radius of the transformed circle?

A circle has been transformed from an original circle with equation \(x^2+y^2=1\) by dilating by a factor of \(\frac35\), shifting up 5, and shifting left 7.

1. Write an equation for the circle.
2. What are the center and radius of this circle?

A circle has been transformed from the circle with equation \(x^2+y^2=1\). The equation for the transformed circle is \((x-3)^2+(y-5)^2=\frac19\).

1. What transformations were performed on the circle?
2. What are the center and radius of the new circle?