What is the foci 25x^2-4 ?

The foci 25x^2-4 is (0,-399/100)

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foci 25x^2-4

foci

25 x^{2} - 4

(0, - \frac{399}{100})

Solution steps

Rewrite

y = 25 x^{2} - 4

in the standard form:

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

(h, k) = (0, - 4), p = \frac{1}{100}

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

p

from the center

(0, - 4)

along the y-axis

(0, - 4 + p)

= (0, - 4 + \frac{1}{100})

Refine

(0, - \frac{399}{100})

2 x^{2} - 8 y = 6 x^{2} + 20 y

y = 3 x^{2} - 35 x

y^{2} - 6 y - 2 x + 7 = 0

y = - 0.0000848 x^{2} - 0.006005 x + 1.004

y^{2} - \frac{3}{4} x = 0