What is the axis y=3.1+6.6x-2.3x^2 ?

The axis y=3.1+6.6x-2.3x^2 is x=1.43478…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

axis y=3.1+6.6x-2.3x^2

axis

y = 3.1 + 6.6 x - 2.3 x^{2}

x = 1.43478 \dots

Solution steps

y = 3.1 + 6.6 x - 2.3 x^{2}

Rewrite

y = 3.1 + 6.6 x - 2.3 x^{2}

in the standard form

4 (- 0.10869 \dots) (y - 7.83478 \dots) = (x - 1.43478 \dots)^{2}

Therefore parabola properties are:

(h, k) = (1.43478 \dots, 7.83478 \dots), p = - 0.10869 \dots

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 = 1.43478 \dots

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

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

y = (\frac{1}{2} x + 4)^{2}

y = 2 x^{2} - 8

y = x^{2} - 2 x - 9