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

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

Find the equation of the parabola with vertex (0,0), passing through the point (4,5) and symmetric about the x - axis.

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 with vertex at the origin , passing through (2,-3) and symmetric about x-axis.

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

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

Find the equation of the parabola with vertex (0,0), passing through (5,2) and symmetric with respect to y-axis.

Find the equation of the parabola passing through the points (3,0), (-3,0) , (2,5) and having its axis parallel to the y - axis find the coordinates of its vertex .