The graph that shows the circle is graph (d)
The equation of the circle is given as:
[tex]x^2 + (y +3)^2 = 9[/tex]
Express 9 as 3^2
[tex]x^2 + (y +3)^2 = 3^2[/tex]
Circle equation
The equation of a circle is represented as:
[tex](x - a)^2 + (y - b )^2 = r^2[/tex]
The parameters
Where:
- The center of the circle is (a, b)
- The radius is r
So, by comparison:
[tex](a,b) = (0,-3)[/tex]
Hence, the graph that shows the circle is graph (d)
Read more about circle equations at:
https://brainly.com/question/9716876
