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Question
Find the vertex, focus, equation of directrix and length of the latus rectum of the following:
y2 = 16x
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Solution
4a = 16
a = 4
(a) Vertex V(0, 0)
(b) Focus S(a, 0) = S(4, 0)
(c) Equation of the directrix x = – a
x = – 4
⇒ x + 4 = 0
(d) Length of the latus rectum = 4a
= 4(4)
= 16
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