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 )`

The equation of the parabola whose vertex and focus lie on the axis of x at distances a and a_1 from the origin, respectively, is (a) y^2-4(a_1-a)x (b) y^2-4(a_1-a)(x-a) (c) y^2-4(a_1-a)(x-a) (d) n o n e

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 vertex is (-1, 3) and focus is (3, -1) .

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

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 at the origin and directrix is the line y - 4 = 0 .

Find the equation of the parabola whose coordinates of vertex and focus are (-2,3) and (1, 3) respectively .

Find the differential equation of all parabolas whose axis are parallel to the x-axis.

Find the equation of the parabola whose vertex is at (2,-3) , axis is parallel to x - axis and length of latus rectum is 12 .