What is the directrix y=3x^24 ?

The directrix y=3x^24 is y=-1/48

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directrix y=3x^24

directrix

y = 3 x^{2} 4

y = - \frac{1}{48}

Solution steps

Rewrite

y = 3 x^{2} \cdot 4

in the standard form:

4 \cdot \frac{1}{48} (y - 0) = (x - 0)^{2}

(h, k) = (0, 0), p = \frac{1}{48}

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, 0)

y-coordinate

y = 0 - p

y = 0 - \frac{1}{48}

Refine

y = - \frac{1}{48}

- 7 x^{2}

x^{2} - x - 2

2 x^{2} + 5 x - 7

10 y^{2} = 22 x

y \geq x^{2}