What is the directrix x^2-6x+16 ?

The directrix x^2-6x+16 is y= 27/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

directrix x^2-6x+16

directrix

x^{2} - 6 x + 16

y = \frac{27}{4}

Solution steps

Rewrite

y = x^{2} - 6 x + 16

in the standard form

4 \cdot \frac{1}{4} (y - 7) = (x - 3)^{2}

(h, k) = (3, 7), p = \frac{1}{4}

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

(3, 7)

y-coordinate

y = 7 - p

y = 7 - \frac{1}{4}

Refine

y = \frac{27}{4}

x^{2} - 6 x + 18

(x - 3)^{2} = - 12 (y - 2)

3 x^{2} - 5

\frac{4 x ^{3} - 7 x ^{2} - 11 x + 5}{4 x + 5}

(\frac{1}{2} - x) (- \frac{1}{2} - x)