Answer:
[tex](x+4)^2+(y-4)^2=9[/tex]
Step-by-step explanation:
From the graph, we need to identify two things: the center of the circle and the radius of the circle.
From this graph, we find that the center of the circle is at (-4,4) and the radius of the circle is 3.
Recall that the format for the equation of a circle is [tex](x-x_1)^2+(y-y_1)^2=r^2[/tex]
Now, we can put our know information into this equation and simplify to get our answer
[tex](x-(-4))^2+(y-4)^2=3^2\\\\(x+4)^2+(y-4)^2=9[/tex]
