What is the directrix x^2-4x+2 ?

The directrix x^2-4x+2 is y=-9/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

directrix x^2-4x+2

directrix

y = - \frac{9}{4}

Solution steps

Rewrite

y = x^{2} - 4 x + 2

in the standard form

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

(h, k) = (2, - 2), 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

(2, - 2)

y-coordinate

y = - 2 - p

y = - 2 - \frac{1}{4}

Refine

y = - \frac{9}{4}