SOLUTION: a)States the coordinates of the center and radius of the given circle: x^2+(y+2)^2=9 b) Find the coordinates of y intercept of the given circle. Thanks!

Algebra ->  Circles -> SOLUTION: a)States the coordinates of the center and radius of the given circle: x^2+(y+2)^2=9 b) Find the coordinates of y intercept of the given circle. Thanks!      Log On


   

Question 1108665: a)States the coordinates of the center and radius of the given circle: x^2+(y+2)^2=9
b) Find the coordinates of y intercept of the given circle.
Thanks!
Found 3 solutions by josgarithmetic, ikleyn, TeachMath:
Answer by josgarithmetic(39631) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2
Center is (h,k).

For intercepts, let x=0 and find y; let y=0 and find x.

Answer by ikleyn(52927) About Me  (Show Source):
You can put this solution on YOUR website!
.
a)  The center is (x,y) = (0,-2).

    The radius is 3 = sqrt%289%29.



b)  y-intercept is obtained when x= 0 in the given equation

    (y+2)^2 = 9  ====>  y+2 = +/-3  ====>  y%5B1%5D = -2 + 3 = 1

                                           y%5B2%5D = -2 - 3 = -5.


Answer by TeachMath(96) About Me  (Show Source):
You can put this solution on YOUR website!
a) (0, - 2) and sqrt(9) = 3
b) (0, 1) (0, - 5)