X^2 + y^2 +4y =3 complete the square on the x and y terms to find the radius and center of a circle

Center = (0, -4)

Radius = units

Step-by-step explanation:

We are given;

The equation of a circle;

We are required to determine the radius and the center of the circle;

To do this we are going to use completing square method;

Since we don't have the x term then;

We add the square of half the coefficients of x and y on both sides of the equation;

That is;

We get;

Taking the squares;

But we know when the equation of a circle is written in the form of;

, where (a,b) is the center and r is the radius of the circle.

Thus, in this case;

Center = (0, -4)

Radius = units