Question

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

Answer 1

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`