Question

Determine the equation of the circle graphed below.

y
10
8
6
6
4
2
-10
-8
-6
6
8
10
-2
-4
-8
-10
Answer:
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Answer 1

(x +7)^2 +(y +6)^2 = 9

Explanation:

The given circle appears to be centered at (-7, -6) and have a radius of 3. The standard form equation of a circle is ...

(x -h)^2 +(y -k)^2 = r^2 . . . . . . circle of radius r centered at (h, k)

For (h, k) = (-7, -6) and r=3, your circle is ...

(x -(-7))^2 +(y -(-6))^3 = 3^2

(x +7)^2 +(y +6)^2 = 9