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Popular >

directrix x-x^2

Solution

directrix

x - x^{2}

Solution

y = \frac{1}{2}

Solution steps

Rewrite

y = x - x^{2}

in the standard form

4 (- \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 x^2+2x-16y+65=0 directrix

x^{2} + 2 x - 16 y + 65 = 0

directrix 2x^2-36x+324 directrix

2 x^{2} - 36 x + 324

directrix y=(2x-1)(5x-6)directrix

y = (2 x - 1) (5 x - 6)

directrix 0.5x^2-3x+5 directrix

0.5 x^{2} - 3 x + 5

directrix x+y^2=0 directrix

x + y^{2} = 0

Frequently Asked Questions (FAQ)

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