Find the vertex of the parabola `x^2=2(2x+y)`

Find the area of the triangle formed by the lines joining the vertex of the parabola x^2 = - 36y to the ends of the latus rectum.

Find the area of the triangle formed by the lines joining the vertex of the parabola x^(2) = 8y to the ends of its latus rectum.

Find the area of the triangle formed by the lines joining the vertex of the parabola x^(2)=12y to the ends of its latus rectum.

Find the area of the triangle formed by the lines joining the vertex of the parabola x^(2)=12y to the ends of its latus rectum

The coordinates of the vertex of the parabola y^(2)=4(x+y) is

Find the equation of the lines joining the vertex of the parabola y^(2)=6x to the point on it which have abscissa 24.

Find the area of the triangle formed by the lines joining the vertex of the parabola y^(2) = 16x to the ends of the latus rectum.