What is the directrix 5x^2-13x-6 ?

The directrix 5x^2-13x-6 is y=-29/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

directrix 5x^2-13x-6

directrix

5 x^{2} - 13 x - 6

y = - \frac{29}{2}

Solution steps

Rewrite

y = 5 x^{2} - 13 x - 6

in the standard form

4 \cdot \frac{1}{20} (y - (- \frac{289}{20})) = (x - \frac{13}{10})^{2}

(h, k) = (\frac{13}{10}, - \frac{289}{20}), p = \frac{1}{20}

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{13}{10}, - \frac{289}{20})

y-coordinate

y = - \frac{289}{20} - p

y = - \frac{289}{20} - \frac{1}{20}

Refine

y = - \frac{29}{2}

x^{2} - 4 x - 5

4 x^{2} + 12 x + 9

5 x^{2}

x^{2} + x - 1

y^{2} - 8 x + 2 y + 17 = 0