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

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.

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.

Find the equation of the ellipse satisfying the following condition : Foci at (+-3, 0) , passing through (4, 1).

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.

In the following, find the equation of the parabola that satisfies the given conditions: Vertex (0,0), focus (3,0)

In the following, find the equation of the parabola that satisfies the given conditions: Vertex (0,0), focus (-2,0)

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