Question

Would appreciate the help.

Answer 1

`x^(2)+(y+2)^(2)=9`

Explanation:

The center of the circle is (0, -2). The dark-filled circle is the center and lies 2 units below the origin on the y-axis.

On the other hand, the radius of the circle is 3 units. If we count from the dark-filled circle, we have 3 complete squares to the left, to the right.

Now the standard equation of a circle with center (a, b) and radius r units is given by the formula;

`(x-a)^(2)+(y-b)^(2)=r^(2)`

Substituting the values obtained;

`x^(2)+(y+2)^(2)=9`

and is our standard equation of the given circle