`y^2+2y-x+5=0` represents a parabola. Find its vertex, equation of axis, equation of latus rectum, coordinates of the focus, equation of the directrix, extremities of the latus rectum, and the length of the latus rectum.

Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum. x^2=6y

Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum. x^2=-9y

Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum. y^2=-8x

Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum. y^2=10 x

Find the coordinates of the focus, axis of the parabola, the equation of the directrix and the length of the latus rectum. x^2=-16 y

Find the value of lambda if the equation (x-1)^2+(y-2)^2=lambda(x+y+3)^2 represents a parabola. Also, find its focus, the equation of its directrix, the equation of its axis, the coordinates of its vertex, the equation of its latus rectum, the length of the latus rectum, and the extremities of the latus rectum.

For the following parabola find the coordinates of the focus, the equation of the directrix and the length of the latus rectum. y^2=12x

Find the co-ordinates of the focus, the equation of the directrix and latus rectum of the parabola y^(2) = 20x .

Find the coordinates of the focus, axis, the equation of the directrix and latus rectum of the parabola y^2=8x .

For each of that parabolas, find the coordinates of the focus, the equation of the directrix and the length of latus rectum : x^2 = 6y