Question

write the equation of the circle in general form. show your work.
SOS

Answer 1

Answer:

The equation of the circle is

$(x - h) {}^{2} + (y - k) = {r}^{2}$

where (h,k) is the center and r is the radius.

The center is (-1,1) so plug that in the equation.

$(x - ( - 1)) {}^{2} + (y - 1) {}^{2} = {r}^{2}$

$(x + 1) {}^{2} + (y - 1) {}^{2} = {r}^{2}$

The radius of the circle is 3 so plug that in for r.

$(x + 1) {}^{2} + (y - 1) {}^{2} = {3}^{2}$

$(x + 1) {}^{2} + (y - 1) {}^{2} = 9$