Answer:
Step-by-step explanation:
The standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex] where h and k are the coordinates of the center and r is the radius. The grids on our graph are 1/4 of a unit apart, and that will be important when we need to find the radius of the circle in just a minute. But first the center.
The center is situated at (-2, -2). That is our h and k.
The radius goes from -1.25 to -2, so the radius is .75 units long (or 3/4 of a unit).
Putting all of this together:
[tex](x-(-2))^2+(y-(-2))^2=(.75)^2[/tex] which simplifies to
[tex](x+2)^2+(y+2)^2=\frac{9}{16}[/tex]
