What is the foci+(y^3-100y)/(y+10) ?

The foci+(y^3-100y)/(y+10) is (-99/4 ,5)

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foci+(y^3-100y)/(y+10)

foci

(- \frac{99}{4}, 5)

Solution steps

Rewrite

x = \frac{y ^{3} - 100 y}{y + 10}

in the standard form

4 \cdot \frac{1}{4} (x - (- 25)) = (y - 5)^{2}

(h, k) = (- 25, 5), p = \frac{1}{4}

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

p

from the center

(- 25, 5)

along the x-axis

(- 25 + p, 5)

= (- 25 + \frac{1}{4}, 5)

Refine

(- \frac{99}{4}, 5)