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Popular >

directrix 3x^2-x

Solution

directrix

3 x^{2} - x

Solution

y = - \frac{1}{6}

Solution steps

Rewrite

y = 3 x^{2} - x

in the standard form

4 \cdot \frac{1}{12} (y - (- \frac{1}{12})) = (x - \frac{1}{6})^{2}

(h, k) = (\frac{1}{6}, - \frac{1}{12}), p = \frac{1}{12}

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

(\frac{1}{6}, - \frac{1}{12})

y-coordinate

y = - \frac{1}{12} - p

y = - \frac{1}{12} - \frac{1}{12}

Refine

y = - \frac{1}{6}

Popular Examples

directrix x^2+14x+46 directrix

x^{2} + 14 x + 46

directrix-3x^2+17x-20 directrix

- 3 x^{2} + 17 x - 20

directrix y+1=5(x-2)^2 directrix

y + 1 = 5 (x - 2)^{2}

directrix y=4x^2+5 directrix

y = 4 x^{2} + 5

directrix (x+4)^2-3 directrix

(x + 4)^{2} - 3

Frequently Asked Questions (FAQ)

What is the directrix 3x^2-x ?
The directrix 3x^2-x is y=-1/6