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Yuki888 [10]
3 years ago
7

What is the directrix of the parabola defined by (x + 3)2 = -20(y − 1)?

Mathematics
1 answer:
Aleks [24]3 years ago
4 0
We have that

(x + 3)² = -20(y − 1)
<span>This is actually the vertex form, so we can obtain the vertex already
</span>the vertex is the point (h,k)------------> (-3,1)

4p=-20------------> p=-5
Focus is at (-3,1-5)---------> (-3,-4)
Directrix is at <span>y = 1-(-5)----------> y=6
</span>
the answer is
the directrix is y=6

see the attached figure

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