What is the directrix+2.5t^2+6t ?

The directrix+2.5t^2+6t is y=-3.7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

directrix+2.5t^2+6t

directrix

y = - 3.7

Solution steps

Rewrite

y = 2.5 t^{2} + 6 t

in the standard form

4 \cdot 0.1 (y - (- 3.6)) = (t - (- 1.2))^{2}

(h, k) = (- 1.2, - 3.6), p = 0.1

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

(- 1.2, - 3.6)

y-coordinate

y = - 3.6 - p

y = - 3.6 - 0.1

Refine

y = - 3.7