Answer:
The standard equation is [tex](x+1)^2+(y+1)^2=1[/tex]
Step-by-step explanation:
In order to determine the standard equation of a circle, we have to know the formula and its graph.
The standard form equation of a circle is a way to express the definition of a circle on the coordinate plane.
The formula is [tex](x-h)^2+(y-k)^2=r^2[/tex]
Where:
[tex](h,k)[/tex] are the "x" and "y" coordinates of the center of the circle respectively.
"r" is the radius of the circle.
I have attached an image that shows the graph of a circle.
In this case:
[tex](h,k)=(-1,-1)\\r=1\\\\(x-h)^2+(y-k)^2=r^2\\(x-(-1))^2+(y-(-1))^2=(1)^2\\(x+1)^2+(y+1)^2=1[/tex]
Finally, the standard equation of a circle with center (-1,-1) and radius 1 is
[tex](x+1)^2+(y+1)^2=1[/tex]
