Explanation
The formula for the equation of a circle is
[tex]\mleft(x-h\mright)^2+(y-k)^2=r^2[/tex]
where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle.
From our graph, we see that our center is
[tex]\begin{gathered} (h,k)=(-7,-3) \\ \end{gathered}[/tex]
The radius which is the distance between the center and any point on the circumference can be measured as 3 units.
Therefore, by inserting the parameters into the formula, we will have;
[tex]\begin{gathered} (x-(-_{}7))^2+(y-(-3))^2=3^2 \\ (x+7)^2^{}+(y+3)^2=9 \end{gathered}[/tex]
Answer:
[tex](x+7)^2+(y+3)^2=9[/tex]
