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

If the centre, vertex and focus of a hyperbola be (0,0), (4,0) and (6,0) respectively, then the equation of the hyperbola is

An equation of the elliptical part of an optical lens system is (x^(2))/(25)+(y^(2))/(9)=1 . The parabolic part of the system has a focus in common with right focus of the ellipse. The vertex of the parabola is at the orgin and the prabola opens to the right. Find the equation of the parabola.

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

If the focus of a parabola is (2, 3) and its latus rectum is 8, then find the locus of the vertex of the parabola.

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

An equation of the elliptical part of an optical lens system is (x^(2))/(16)+(y^(2))/(9)=1 . The parabolic part of the system has a focus in common with the right focus of the ellipse. The vertex of the parabola is at the origin and the parabola opens to the right. determine the equation of the parabola

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