Find the equation of the parabola passing through (5, 2), having vertex at (0, 0) and symmetric about y-axis.

Find the equation of the ellipse passing through the point (3,2), having centre at (0,0) and major axis on y- axis.

Find the equation of the parabola whose focus is (3, 0) and vertex is (0, 0) .

Find the equation of the parabola having ther vertex at (0, 1) and the focus at (0, 0) .

Find the equation of the parabola, which has vertex (0,0) and its symmetric about y-axis and passes through the point (2,-3).

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

Find the equation of the parabola,if: the focus is at (0,-3) and the vertex is at (0,0)

Find the equation of the parabola,if: the focus is at (a,0) and the vertex is at (a',0)

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

Find the equation of the parabola with vertex (2,3) and focus (0,5).