What is the directrix y=(x+314)^2 ?

The directrix y=(x+314)^2 is y=-1/4

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directrix y=(x+314)^2

directrix

y = (x + 314)^{2}

y = - \frac{1}{4}

Solution steps

Rewrite

y = (x + 314)^{2}

in the standard form:

4 \cdot \frac{1}{4} (y - 0) = (x - (- 314))^{2}

(h, k) = (- 314, 0), p = \frac{1}{4}

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

(- 314, 0)

y-coordinate

y = 0 - p

y = 0 - \frac{1}{4}

Refine

y = - \frac{1}{4}

y = x^{2} - 13 x + 40

(x + 2)^{2} = - 8 (y - 1)

\frac{x ( x + 5 )}{7}

y = + x^{2} - 18 x + 73

y = x^{2} + 4 x + 3