What is the directrix y=x^2-10x-24 ?

The directrix y=x^2-10x-24 is y=-197/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

directrix y=x^2-10x-24

directrix

y = - \frac{197}{4}

Solution steps

Rewrite

y = x^{2} - 10 x - 24

in the standard form

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

(h, k) = (5, - 49), 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

(5, - 49)

y-coordinate

y = - 49 - p

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

Refine

y = - \frac{197}{4}