If the vertex of a parabola is the point `(-3,0)` and the directrix is the line `x+5=0` , then find its equation.

If the focus and vertex of a parabola are the points (0, 2) and (0, 4), respectively, then find the equation

If the vertex of the parabola is (3,2) and directrix is 3x+4y-(19)/7=0 , then find the focus of the parabola.

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

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

Find the equation of the parabola with focus (-1,0) and directrix x = 1.

Find the equation of the parabola. Focus (4,0) and directrix x=-4.

The vertex of the parabola y^2 + 4x = 0 is

Find the length of the latus rectum of the parabola whose focus is at (2, 3) and directrix is the line x-4y+3=0 .

Find the equation to the ellipse, whose focus is the point (-1,1), whose directrix is the straight line x-y +3=0, and whose eccentricity is 1/2.

Equation of the parabola with focus (-4,0) and vertex at the origin is