Question

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

Answer 1

Answer:

the equation of durectrix is

x=-17/4

Step-by-step explanation:

by shifting of origin X=x+4

durectrix = X= -a

x+4=-1/4

x=-17/4

Answer 2

Let the  equation of the parabola is  $y^2=4ax$

then the equation of directrix of the parabola is x=a

Given the equation of the directrix of the parabola $y^2=x+4$

We have to find the directrix of the given parabola.

On comparing this equation with $y ^ 2 = - 4ax$ we get.

Y =y , a= -1 and X= x + 4

then the directrix of the parabola is X=a

So,

x + 4 = -1

x=-5