Find the equation of the paraola whose focus is (a,0) and directrix is the line x + a = 0.

Find the equation of the parabola whose focus is (5,3) and directrix is the line 3x-4y+1=0.

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

The equation of a parabola whose focus is (-3,0) and dielectrix is x+5=0.

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

The equation of the parabola with the focus (3,0) and directrix x+3=0 is

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

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

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

Prove that the equation of the parabola whose focus is (0, 0) and tangent at the vertex is x-y+1 = 0 is x^2 + y^2 + 2xy - 4x + 4y - 4=0 .