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

The directrix-2x^2+24x+y-70=0 is y=-17/8

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

directrix

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

y = - \frac{17}{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 directrix is a line parallel to the x-axis, a distance

- p

from the center

(6, - 2)

y-coordinate

y = - 2 - p

y = - 2 - \frac{1}{8}

Refine

y = - \frac{17}{8}

\frac{( 4 x + 5 ) ( 2 x + 3 )}{2}

y = 4 (x - 1)^{2} - 2

- 2 - x + x^{2}

(x - 1)^{2} - 2

y^{2} - 10 y + 4 x + 25 = 0

What is the directrix-2x^2+24x+y-70=0 ?
The directrix-2x^2+24x+y-70=0 is y=-17/8