What is the foci+18500(0.09-x^2) ?

The foci+18500(0.09-x^2) is (0, 123209999/74000)

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foci+18500(0.09-x^2)

foci

+ 18500 (0.09 - x^{2})

(0, \frac{123209999}{74000})

Solution steps

Rewrite

y = 18500 (0.09 - x^{2})

in the standard form

4 (- \frac{1}{74000}) (y - 1665) = (x - 0)^{2}

(h, k) = (0, 1665), p = - \frac{1}{74000}

Parabola is symmetric around the y-axis and so the focus lies a distance

p

from the center

(0, 1665)

along the y-axis

(0, 1665 + p)

= (0, 1665 + (- \frac{1}{74000}))

Refine

(0, \frac{123209999}{74000})

y = x^{2} + 4 x + 3

y = x^{2} + 10 x + 25

(x + 2)^{2} = 8 (y - 3)

x^{2} + 2 x - 12 y + 37 = 0

x^{2} + 4 x + 6 y - 2 = 0

What is the foci+18500(0.09-x^2) ?
The foci+18500(0.09-x^2) is (0, 123209999/74000)