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The graph of (x - 3)^2 + (y - 5)^2 = 16 is reflected over the line y = 4. The new graph is the graph of the equation x^2  + Bx + y^2 + Dy + 4 = 0 for some constants B, D, and F. Find B + D + F.

 Apr 5, 2021
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Hint: The $y$ coordinate turns into $4-(y-4)=8-y$. Now put $y\mapsto 8-y$ in your equation and expand :)

 Apr 5, 2021

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