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Popular >

directrix 2x-x^2

Solution

directrix

2 x - x^{2}

Solution

y = \frac{5}{4}

Solution steps

Rewrite

y = 2 x - x^{2}

in the standard form

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

(h, k) = (1, 1), 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

(1, 1)

y-coordinate

y = 1 - p

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

Refine

y = \frac{5}{4}

Popular Examples

directrix y=(x-12)^2-156 directrix

y = (x - 12)^{2} - 156

directrix y=x^2+6x+11 directrix

y = x^{2} + 6 x + 11

directrix-x(x-3)directrix

- x (x - 3)

directrix+17/4 (x+2)^2 directrix

+ \frac{17}{4} (x + 2)^{2}

directrix y=(-x)^2 directrix

y = (- x)^{2}

Frequently Asked Questions (FAQ)

What is the directrix 2x-x^2 ?
The directrix 2x-x^2 is y= 5/4