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Katen [24]
3 years ago
6

Derive the equation of the parabola with a focus at (2, 4) and a directrix of y = 8.

Mathematics
1 answer:
4vir4ik [10]3 years ago
6 0
Directrix y = 8
 It is a horizontal line  so the parabola is vertical. 
<span>The focus (2, 4) lies below the directrix,
Therefore parabola opens downwards. </span>
<span>vertex will be  halfway between focus and directrix, at (2, 6) </span>
<span>focal length =p
= distance between focus and vertex
= 2 </span>
<span>y = (-1/(4p))(x - 2)² + 6 </span>
<span>y = (-1/8)(x - 2)² + 6
hope this helps</span>
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