1. the equation of a circle is (x + 3)2 + (y + 5)2 = 8. determine the coordinates of the center of the circle.
2. write the standard equation of the circle below.
(first image)
3. using the circle below, determine the coordinates of the center and the length of the radius.
(second image)
4. write the standard equation of the circle below.
(third image)
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1) Coordinates of center of circle of given equation is (-3,-5).

2) The equation of a circle is =4.

3)Coordinates of center of circle of graph 2 are( -2,1) , radius of circle = 3.

4)

Standard equation of circle  =.

Step-by-step explanation:

Given: The equation of a circle is (x + 3)2 + (y + 5)2 = 8 and graph.

To find : Coordinates of center of circle and standard equation of of given circle .

Solution : We have =8.

On comparing with the standard equation of circle  =.

Coordinates of center of circle are h,k and radius of circle =r .

1) Coordinates of center of circle of given equation is (-3,-5).

2) From graph 1 we can see coordinates of center of circle are (3,2)

The equation of a circle is =4.

3)Coordinates of center of circle of graph 2 are( -2,1) and radius of circle = 3.

4) Coordinates of center of circle of graph 3 are( -1,2) and radius of circle = 1

then standard equation of circle  =.