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Question
Find the co-ordinates of the focus, vertex, equation of the directrix, axis and the length of latus rectum of the parabola
x2 = - 16y
Solution
x2 = - 16y
x2 = - 4(4)y
∴ a = 4
| Vertex | (0, 0) | (0, 0) |
| Focus | (0, -a) | (0, -4) |
| Axis | y-axis | x = 0 |
| Directrix | y - a = 0 | y - 4 = 0 |
| Length of Latus rectum | 4a | 16 |
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