Question

x^2+y^2+8y=0 find the radius and the center and graph

Answer 1

the same procedure in your last question.

complete the square of the variable y. follow the general formula for a circle. you should be able to get the center and the radius.

Answer 2

idk how to do this

Answer 3

okay. I'll show it step by step.

as i said, the general formula is

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

the equation is this,
x^2 + y^2 + 8y = 0

you need to complete the square of the variable y.

so it would look like this,

x^2 + y^2 + 8y + 16 = 16

then, transform the equation,

(x+0)^2 + (y+4)^2 = 16

you can find now the center and the radius.

from the general formula,

the center is (h,k)

and the radius is r