Find the equation of the parabola whose focus is at (0, 0) and vertex is at the intersection of the line `x+y=1 and x-y=3`.

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

Find the equation of the parabola whose focus is (4,-3) and vertex is (4,-1).

Find the equation of the parabola whose focus is (0,0) and the vertex is the point to of intersection of the lines x+y=1 and x-y=3.

Find the equation of the parabola whose focus is (0,-4) and directrix is y=4.

Find the equaiton of the parabola whose focus is (0, -3) and directrix is y=3 .

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,if: the focus is at (0,-3) and the vertex is at (0,0)

Find the equation of the parabola whose focus is (2, 3) and directrix is x-2y-6=0 .

Find the equation of the parabola whose vertex is (0,0) and directrix is the line x+3

Find the equation of the parabola whose focus is (1,1) and tangent at the vertex is x+y=1