Q. 25.0( 2 Votes )

write the distance between the vertex and focus of the parabola y2 + 6y + 2x + 5 = 0

Answer :

Given equation of the parabola is y2 + 6y + 2x + 5 = 0



y2 + 6y + 5 = - 2x


y2 + 6y + 9 = - 2x + 4


(y + 3)2 = - 2(x - 2)


Comparing with standard form of parabola (y - a)2 = - 4b(x - c) we get,


4b = 2




We know that the distance between the vertex and focus is b.


The distance between the vertex and focus is .


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