Question 301500
identify the focus and directrix of 8x=y^2+6y+9
8x =(y+3)^2
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Form: 4p(x-0) = (y-k)^2
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4p = 8 ; p = 2
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h = 0 ; k = -3
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Vertex: (0,-3)
Directrix : x = h-p = -2
Focus: (h+p,k) = (2,-3)
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Cheers,
Stan H.