What is the directrix x^2-5x-6 ?

The directrix x^2-5x-6 is y=-25/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

directrix x^2-5x-6

directrix

x^{2} - 5 x - 6

y = - \frac{25}{2}

Solution steps

Rewrite

y = x^{2} - 5 x - 6

in the standard form

4 \cdot \frac{1}{4} (y - (- \frac{49}{4})) = (x - \frac{5}{2})^{2}

(h, k) = (\frac{5}{2}, - \frac{49}{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{5}{2}, - \frac{49}{4})

y-coordinate

y = - \frac{49}{4} - p

y = - \frac{49}{4} - \frac{1}{4}

Refine

y = - \frac{25}{2}