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Popular >

directrix x^2-x

Solution

directrix

x^{2} - x

Solution

y = - \frac{1}{2}

Solution steps

Rewrite

y = x^{2} - x

in the standard form

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

(h, k) = (\frac{1}{2}, - \frac{1}{4}), 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

(\frac{1}{2}, - \frac{1}{4})

y-coordinate

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

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

Refine

y = - \frac{1}{2}

Popular Examples

directrix+4x^2-4x+9 directrix

+ 4 x^{2} - 4 x + 9

directrix x^2-2 directrix

x^{2} - 2

directrix 4-(x-3)^2 directrix

4 - (x - 3)^{2}

directrix+x^2-6x-7 directrix

+ x^{2} - 6 x - 7

directrix log_{10}(6)x^2 directrix

lo g_{10} (6) x^{2}

Frequently Asked Questions (FAQ)

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