Find the vertex and the directrix of the parabola `y^2=8(x+1)`.

Find the co-ordinates of the focus and the equation of the directrix of the parabola y^2=12x .

Find the focus and the directrix of the parabola y ^2 = 4kx if it passes through the point (4a, 4a).

What is the distance of the focus from the directrix of the parabola y ^2 = 8x?

Write the coordinates of the vertex and the focus, the equations of the directrix and the axis, and the length of the latus rectum of the parabola: (i) y ^2 = 16x

Find the equation of the tanget to the parabola (i) y^2 = 4x which is parllel to 2x + y + 3 = 0