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Popular >

directrix 2x^2-x

Solution

directrix

2 x^{2} - x

Solution

y = - \frac{1}{4}

Solution steps

Rewrite

y = 2 x^{2} - x

in the standard form

4 \cdot \frac{1}{8} (y - (- \frac{1}{8})) = (x - \frac{1}{4})^{2}

(h, k) = (\frac{1}{4}, - \frac{1}{8}), 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

(\frac{1}{4}, - \frac{1}{8})

y-coordinate

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

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

Refine

y = - \frac{1}{4}

Popular Examples

directrix x^2=-10y directrix

x^{2} = - 10 y

directrix x^2-4 directrix

x^{2} - 4

directrix y=2x^2-13x-7 directrix

y = 2 x^{2} - 13 x - 7

directrix x=7y^2 directrix

x = 7 y^{2}

directrix y=7x^2-9x-5 directrix

y = 7 x^{2} - 9 x - 5

Frequently Asked Questions (FAQ)

What is the directrix 2x^2-x ?
The directrix 2x^2-x is y=-1/4