What is the axis y=3x^2-6x-24 ?

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-24

axis

y = 3 x^{2} - 6 x - 24

x = 1

Solution steps

y = 3 x^{2} - 6 x - 24

Rewrite

y = 3 x^{2} - 6 x - 24

in the standard form

4 \cdot \frac{1}{12} (y - (- 27)) = (x - 1)^{2}

Therefore parabola properties are:

(h, k) = (1, - 27), 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 = 4 x^{2} + 8 x + 13

16 x^{2} - 72 x - 112 y = - 221

x = (4 y + 3) (2 y - 5)

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

y = - \frac{1}{2} (x + 3)^{2} - 1