Show that the equation of the parabola whose vertex is (2,3) and focus is (2, -1) is `x^(2) - 4 x + 16 y = 44 ` .

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

Find the equation of the parabola whose vertex is (-2,2) and focus is (-6,-6).

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

Find the equation of the parabola whose focus is (2,1) and whose directrix is 3x - y + 1 = 0 .

The equation of the parabola with vertex at the origin and directix is y=2 is-

Find the equation of the parabola whose vertex is the point (-2,3) and directrix is the line x + 7 = 0

Find the equation of the parabola with focus (2,0) and directrix x=-2 .

show that the equation of the parabola whose vertex and focus are on the x -axis at distances a and a' from the origin respectively is y^(2) = 4 (a'-a) (x - a )

Find the equation of the parabola whose focus is S(-1,1) and directrix is 4x+3y-24=0 .

Find the equation of a parabola whose focus is (1,2) and directrix is the line x+y=0.