What is the foci 25x^2-100 ?

The foci 25x^2-100 is (0,-9999/100)

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foci 25x^2-100

foci

25 x^{2} - 100

(0, - \frac{9999}{100})

Solution steps

Rewrite

y = 25 x^{2} - 100

in the standard form:

4 \cdot \frac{1}{100} (y - (- 100)) = (x - 0)^{2}

(h, k) = (0, - 100), p = \frac{1}{100}

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

p

from the center

(0, - 100)

along the y-axis

(0, - 100 + p)

= (0, - 100 + \frac{1}{100})

Refine

(0, - \frac{9999}{100})

y = 5 x^{2} - 12

y = 2 x^{2} - 4 x + 9

y = 2 (x - 5)^{2} - 8

y = + 2 x^{2} + 2

\frac{1}{2} (x - 3)^{2} + 4