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  • 24-12-2017
  • Mathematics
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Find the equation of the parabola with a vertex of (5, -2) and a focus of (5, -3)

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mathandscience
mathandscience mathandscience
  • 24-12-2017
Use the form [tex] \left(x-h\right)^2=\frac{1}{4p}\left(y-k \right) [/tex]
Then we have the vertex is [tex] (h,k) [/tex] and the distance from the vertex to the focus is p. Therefore we have [tex]\left(x-5\right)^2=-\frac{1}{4}\left(y+2\right)[/tex]. It is negative because the parabola is pointing downwards.

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