Question

PLEASE HELP
Write the equation of the circle graphed below.

Answer 1

Explanation:

The standard form of a circle is

`(x-h)^2+(y-k)^2=r^2` 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:

`(x-(-2))^2+(y-(-2))^2=(.75)^2` which simplifies to

`(x+2)^2+(y+2)^2=(9)/(16)`