Answer:
(x+3)²+y²=36
Step-by-step explanation:
The equation of a circle is
( x − h ) ² + ( y − k ) ² = r ² , where ( h , k ) is the center and r is the radius.
If the center is at ( − 3 , 0 ) and the endpoint of the radius is at ( 3 , 0 )
, then the length of the radius is the distance between the two points, which is 3 − ( − 3 ) = 6 .
We can substitute
(
−
3
,
0
)
for
(
h
,
k
)
, and
6
for
r
.
(
x
−
h
)
2
+
(
y
−
k
)
2
=
r
2
(
x
−
(
−
3
)
)
2
+
(
y
−
0
)
2
=
6
2
(
x
+
3
)
2
+
y
2
=
36
