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The vertex of the parabola $(x - 4)^{2} + 2 y = 9$ is :

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(7,2)

$(4, \frac{9}{2})$

$(- 4, - \frac{9}{2})$

(2,8)

answer is C.

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Detailed Solution

The given parabola can be written as:

$(x - 4)^{2} = - 2 (y - 9 / 2)$

which is of the form $x^{2} = 4 a y$

Thus, the vertex is ( 4, 9/2).

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