What is the foci-2x^2+24x+y-70=0 ?

The foci-2x^2+24x+y-70=0 is (6,-15/8)

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foci-2x^2+24x+y-70=0

foci

- 2 x^{2} + 24 x + y - 70 = 0

(6, - \frac{15}{8})

Solution steps

Rewrite

- 2 x^{2} + 24 x + y - 70 = 0

in the standard form

4 \cdot \frac{1}{8} (y - (- 2)) = (x - 6)^{2}

(h, k) = (6, - 2), p = \frac{1}{8}

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

p

from the center

(6, - 2)

along the y-axis

(6, - 2 + p)

= (6, - 2 + \frac{1}{8})

Refine

(6, - \frac{15}{8})

y = - 4 x^{2} + 1

x^{2} - 20 y - 2 x - 39 = 0

y^{2} + x + y = 0

y = (x + 1) (x + 2)

3 x^{2} - 16 x + 5