What is the directrix 2.6+2.2x-0.6x^2 ?

The directrix 2.6+2.2x-0.6x^2 is y=5.03333…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

directrix 2.6+2.2x-0.6x^2

directrix

y = 5.03333 \dots

Solution steps

Rewrite

y = 2.6 + 2.2 x - 0.6 x^{2}

in the standard form

4 (- 0.41666 \dots) (y - 4.61666 \dots) = (x - 1.83333 \dots)^{2}

(h, k) = (1.83333 \dots, 4.61666 \dots), p = - 0.41666 \dots

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

(1.83333 \dots, 4.61666 \dots)

y-coordinate

y = 4.61666 \dots - p

y = 4.61666 \dots - (- 0.41666 \dots)

Refine

y = 5.03333 \dots

What is the directrix 2.6+2.2x-0.6x^2 ?
The directrix 2.6+2.2x-0.6x^2 is y=5.03333…