Find the equation of the parabolas with vertices at the origin and satisfying the following conditions. Focus at (-4,0).

Find the equations of the parabola with vertices at the origin and satisfying the following condition : Focus at (- a, 0).

Find the equations of the parabola with vertices at the origin and satisfying the following condition : Directrix y = 2.

Find the equations of the parabola with vertices at the origin and satisfying the following condition : Passing through (2, 3) and axis along x-axis.

Find the equation of the parabola with vertex at the origin and satisfying the condition : Focus (2, 0) , Directrix x = -2 .

Find the equation of the parabola with vertex at the origin and satisfying the condition : Focus (6,0), Directrix x =- 6.

Find the equation of the parabola with vertex at the origin and satisfying the condition : Focus (0, - 3) , Directrix y = 3.

Find the equation of the parabola with vertex at (0, 0) and focus is at (0, 2).

Find the focus of the parabola x^2=4y

Find the differential equation of all parabolas having their vertices at the origin and foci on x-axis.

Find the equation of the family of lines satisfying the following condition : passing through the origin .