Which graph is represented by the equation open paren x plus 3 close paren squared plus open paren y minus 4 close paren squared is equal to 9 ?

A circle in standard form is (x − h)² + (y − k)² = r², with center (h, k) and radius r. Here, (x + 3)² = (x − (−3))² and (y − 4)², so the center is (−3, 4). Since r² = 9, the radius is 3, making the correct choice the circle centered at (−3, 4) with radius 3.

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