Question

(x+14)^2+(y-14)^2=84
(x+9)^2+(y+12)^2=36
(x+3)^2+(y-6)^2=44
(x+16)^2+(y+3)^2=17
Which of the following circles have thier centers in the quadrant? Check all that apply

Answer 1

Which quadrant does the center need to be in?
When equations of circles are in this form:
\[(x-h)^{2}+(y-k)^2=r^{2}\]
, getting the center of them isnt that bad, the center is (h,k). After you get the center, you can figure out which quadrant that is.
The first equation has a center at (-14, 14) Quadrant 2 (Make sure to notice when the number is positive in the equation its negative in the coordinate)
Second is (-9, -12) quadrant 3
Third is (-3, 6) quadrant 2
Fourth is (-16, -3) quadrant 3