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Find the coordinates of the focus and the vertex, the equations of the directrix and the axis, and length of the latus rectum of the parabola:

y^{2} = 12x

y^{2} = 10x

3y^{2} = 8x

Find the coordinates of the focus and the vertex, the equations of the directrix and the axis, and length of the latus rectum of the parabola :

y^{2} = -8x

y^{2} = -6x

5y^{2} = -16x

x^{2} = 16y

x^{2} = 10y

3x^{2} = 8y

x^{2} = -8y

x^{2} = -18y

3x^{2} = -16y

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

Find the equation of the parabola with focus F(4, 0) and directrix x = -4.

Find the equation of the parabola with focus F(0, -3) and directrix y = 3.

Find the equation of the parabola with vertex at the origin and focus F(0, 5).

Find the equation of the parabola with vertex at the origin, passing through the point P(5, 2) and symmetric with respect to the y-axis.

Find the equation of the parabola, which is symmetric about the y-axis and passes through the point P(2, -3).