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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 = 8y
Solution
x2 = 8y
x2 = 4(2)y
∴ a = 2
| Vertex | (0, 0) | (0, 0) |
| Focus | (0, a) | (0, 2) |
| Axis | y-axis | x = 0 |
| Directrix | y + a = 0 | y + 2 = 0 |
| Length of Latus rectum | 4a | 8 |
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