What is the directrix 5x^2-3x+3 ?

The directrix 5x^2-3x+3 is y= 5/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

directrix 5x^2-3x+3

directrix

5 x^{2} - 3 x + 3

y = \frac{5}{2}

Solution steps

Rewrite

y = 5 x^{2} - 3 x + 3

in the standard form

4 \cdot \frac{1}{20} (y - \frac{51}{20}) = (x - \frac{3}{10})^{2}

(h, k) = (\frac{3}{10}, \frac{51}{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{3}{10}, \frac{51}{20})

y-coordinate

y = \frac{51}{20} - p

y = \frac{51}{20} - \frac{1}{20}

Refine

y = \frac{5}{2}

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

(x + 4)^{2} = - 12 (y - 2)

y^{2} - 8 x + 2 y + 25 = 0

(x - 80)^{2} = - 320 (y - 20)

y = x^{2} + 7 x + 5