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

The directrix y^2=-10x is x= 5/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

directrix y^2=-10x

directrix

y^{2} = - 10 x

x = \frac{5}{2}

Solution steps

Rewrite

y^{2} = - 10 x

in the standard form:

4 (- \frac{5}{2}) (x - 0) = (y - 0)^{2}

(h, k) = (0, 0), p = - \frac{5}{2}

Parabola is symmetric around the x-axis and so the directrix is a line parallel to the y-axis, a distance

- p

from the center

(0, 0)

x-coordinate

x = 0 - p

x = 0 - (- \frac{5}{2})

Refine

x = \frac{5}{2}

\frac{x ^{2}}{25} + \frac{y ^{2}}{25} = 1

f (x) = x^{2} - 4

- x^{2} + 9 y^{2} + 4 x + 54 y + 68 = 0

x = - \frac{1}{8} y^{2}

4 x^{2} - y^{2} = 16