What is the directrix y=+x^2+6 ?

The directrix y=+x^2+6 is y= 23/4

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directrix y=+x^2+6

directrix

y = + x^{2} + 6

y = \frac{23}{4}

Solution steps

Rewrite

y = x^{2} + 6

in the standard form:

4 \cdot \frac{1}{4} (y - 6) = (x - 0)^{2}

(h, k) = (0, 6), 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

(0, 6)

y-coordinate

y = 6 - p

y = 6 - \frac{1}{4}

Refine

y = \frac{23}{4}