The geometry of the ellipse.

1. Sketch the parabola defined by each equation, showing the coordinates of the
focus and the equation of the directrix. Also write the equation of the axis of
symmetry and the coordinates of the vertex.
w`

6. A parabola has vertex (0, 0) and focus on a coordinate axis. Write the
equation of the parabola if:
(a) the focus is: (i) (4, 0) (ii) (-6, 0) (iii) (0, 3)
(b) the directrix is defined by the line y = 8.