Question

Write a equation of the circle graphed below

Answer 1

`(x+5)^2+(y+5)^2=25`

Explanation:

Recall that the equation of a circle with center (h,k) and radius "r" is
`(x-h)^2+(y-k)^2=r^2`

Since the center of the circle is (h,k)=(-5,-5) and the radius is r=5, then our equation will be
`(x-(-5))^2+(y-(-5))^2=5^2` which can be simplified into
`(x+5)^2+(y+5)^2=25`