Find the equation of the parabolas with vertices at the origin and satisfying the following conditions. Passing through (2,3) and axis along y-axis.

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 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 : Focus at (- a, 0).

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 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.

In the following, find the equation of the parabola that satisfies the given conditions: Vertex (0,0) passing through (2,3) and axis is along x-axis.

Find the equation of the parabola that satisfies the following condition : Vertex (0. 0), passing through (2, 3) and axis is along x-axis.

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

In the following, find the equation of the parabola that satisfies the given conditions: Vertex (0,0), passing through (5,2) and symmetric with respect to y-axis.