Q. 4 F5.0( 3 Votes )

Find the ve

Answer :

Given equation of the parabola is y2 = 8x + 8y



y2 - 8y = 8x


y2 - 8y + 16 = 8x + 16


(y - 4)2 = 8(x + 2)


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


4b = 8


b = 2


The vertex is (c, a) = (- 2, 4)


The focus is (b + c, a) =


The equation of the axis is y - a = 0 i.e, y - 4 = 0


The equation of the directrix is x - c = - b


Directrix is x - (-2) = -2


Directrix is x = -2 -2


Directrix is x = -4


Length of latus rectum is 4b = 8.


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