The general form of a equation of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where:
r is the radius of the circle
(h,k) are the coordinates of the center of the circle
Then, the given equation:
[tex](x+3)^2+(y+1)^2=16[/tex]
The radius and the coordinates of the center are:
[tex]\begin{gathered} r=4 \\ h=-3 \\ k=-1 \\ \\ \mleft(-3,-1\mright) \end{gathered}[/tex]
Then, the graph for this circle is: Photo number 2
