Answer:
B. (x +5)² +(y -5)² = 9
Step-by-step explanation:
The standard form equation for a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
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When the center is (h, k) = (-5, 5) and the radius is r = 3, this becomes ,..
(x -(-5))² +(y -5)² = 3²
Simplifying gives ...
(x +5)² +(y -5)² = 9 . . . . . matches choice B