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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

axis y=x^2-6x

axis

y = x^{2} - 6 x

x = 3

Solution steps

y = x^{2} - 6 x

Rewrite

y = x^{2} - 6 x

in the standard form

4 \cdot \frac{1}{4} (y - (- 9)) = (x - 3)^{2}

Therefore parabola properties are:

(h, k) = (3, - 9), p = \frac{1}{4}

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 = 3

y = - 2 x^{2} + 64 x - 90

y = x^{2} - 81

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

y = x^{2} - 4 x - 21

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