What is the directrix 2x^2-36x+324 ?

The directrix 2x^2-36x+324 is y= 1295/8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

directrix 2x^2-36x+324

directrix

y = \frac{1295}{8}

Solution steps

Rewrite

y = 2 x^{2} - 36 x + 324

in the standard form

4 \cdot \frac{1}{8} (y - 162) = (x - 9)^{2}

(h, k) = (9, 162), p = \frac{1}{8}

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

(9, 162)

y-coordinate

y = 162 - p

y = 162 - \frac{1}{8}

Refine

y = \frac{1295}{8}