What is the directrix y=25x^2-36 ?

The directrix y=25x^2-36 is y=-3601/100

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

directrix y=25x^2-36

directrix

y = - \frac{3601}{100}

Solution steps

Rewrite

y = 25 x^{2} - 36

in the standard form:

4 \cdot \frac{1}{100} (y - (- 36)) = (x - 0)^{2}

(h, k) = (0, - 36), p = \frac{1}{100}

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

(0, - 36)

y-coordinate

y = - 36 - p

y = - 36 - \frac{1}{100}

Refine

y = - \frac{3601}{100}