ParabolaHard

Question

The equation of the directrix of the parabola y2 + 4y + 4x + 2 = 0 is

Options

A.x = - 1
B.x = 1
C.x = -3/ 2
D.x = 3/ 2

Solution

Given,       y2 + 4y + 4x + 2 = 0
⇒     (y + 2)2 + 4x - 2 = 0 ⇒
⇒     (y + 2)2 = - 4
Replace   y + 2 = Y,
We have,   Y2 = - 4X
This is a parabola with directrix at X = 1
⇒     ⇒    

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