What is the axis y=3x^2-6x-1 ?

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

axis y=3x^2-6x-1

axis

y = 3 x^{2} - 6 x - 1

x = 1

Solution steps

y = 3 x^{2} - 6 x - 1

Rewrite

y = 3 x^{2} - 6 x - 1

in the standard form

4 \cdot \frac{1}{12} (y - (- 4)) = (x - 1)^{2}

Therefore parabola properties are:

(h, k) = (1, - 4), p = \frac{1}{12}

Parabola is of the form

4 p (y - k) = (x - h)^{2}

and is symmetric around the

y

-axis

Axis of symmetry is a line parallel to the

y

-axis which intersects the vertex:

x = 1

y = (x + 4)^{2}

y = 3 x^{2} - 24 x - 15

x^{2} = 28 y

y = - 3 [x^{2} - \frac{16}{3} x + \frac{64}{9} - 4 - \frac{64}{9}]

y^{2} - 4 x + 6 y + 17 = 0