What is the directrix y^2-6y=-4x+3 ?

The directrix y^2-6y=-4x+3 is x=4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

directrix y^2-6y=-4x+3

directrix

y^{2} - 6 y = - 4 x + 3

x = 4

Solution steps

Rewrite

y^{2} - 6 y = - 4 x + 3

in the standard form

4 (- 1) (x - 3) = (y - 3)^{2}

(h, k) = (3, 3), p = - 1

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

(3, 3)

x-coordinate

x = 3 - p

x = 3 - (- 1)

Refine

x = 4

+ x^{2} - 14

x^{2} + 8 x + 3

2 x^{2} - 2 x - 1

- x^{2} + 3 x + 7

(x - 6)^{2}