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Question: Focus of parabola x<sup>2</sup> + 2y + 6x = 0 is :...

Focus of parabola x2 + 2y + 6x = 0 is :

A

(–3, 4)

B

(–3, – 4)

C

(3, – 4)

D

(4, – 3)

Answer

(–3, 4)

Explanation

Solution

x2 + 6x + 9 = –2y + 9

(x + 3)2 = –2(y92)\left( y–\frac{9}{2} \right)

4a = 2 ̃ a = 12\frac{1}{2}

focus º (–3, 4)