Question

Would appreciate the help.

Answer 1

Answer:

$x^{2}+(y+2)^{2}=9$

Step-by-step 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