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Your first answer is correct. The second is not. The equation for a circle is (x - xc)^2 + (y - yc)^2 = r^2. where xc is the x value of the center, and yc is the y value of the center of the circle. r is the radius. So you original equation: x^2 + (y - 1)^2 = 1 can be written (x-0)^2 +...

Your first answer is correct. The second is not. The equation for a circle is (x - xc)^2 + (y - yc)^2 = r^2. where xc is the x value of the center, and yc is the y value of the center of the circle. r is the radius. So you original equation: x^2 + (y - 1)^2 = 1 can be written (x-0)^2 +...