What is the focus of the parabola #y^2+6y+8x+25 = 0#?

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What is the focus of the parabola #y^2+6y+8x+25 = 0#?

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Answer 1 · 2016-03-01T12:06:57

#( -4, -3 )#

Explanation:

Focus of the parabola #(y-b)^2 = 4 k ( x-a) is (a +-k, b)#
The given equation is #( y + 3 )^2 = -8 ( x + 2 )#
Here, a = #-#2, b = #-#3 and k = #-#2.
The vertex of the parabola is at #(-2, -3 )#.
The focus is (a + k, b ) = (#-#4, #-#3 )
The axis is in the negative x-direction..

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What is the focus of the parabola #y^2+6y+8x+25 = 0#?

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Explanation:

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