please help with this one 21

label Mathematics
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Mar 3rd, 2015

We have directrix y = k-p = 15/8 and focus (h, k+p) = (-4, 17/8)

So k-p + k + p = 15/8 + 17/8 

2k = 32/8

k = 2

So p = 2-15/8 = 1/8

And h = -4 so:

(x-h)^2 = 4p(y-k)

(x+4)^2 = 0.5(y-2)

Simplify:

x^2 + 8x + 16 = 0.5y - 1

y = 2x^2 + 16x + 34 (last option)

Mar 3rd, 2015

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