What is the axis y=(2x-1)(5x-6) ?

The axis y=(2x-1)(5x-6) is x= 17/20

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

axis y=(2x-1)(5x-6)

axis

y = (2 x - 1) (5 x - 6)

x = \frac{17}{20}

Solution steps

y = (2 x - 1) (5 x - 6)

Rewrite

y = (2 x - 1) (5 x - 6)

in the standard form

4 \cdot \frac{1}{40} (y - (- \frac{49}{40})) = (x - \frac{17}{20})^{2}

Therefore parabola properties are:

(h, k) = (\frac{17}{20}, - \frac{49}{40}), p = \frac{1}{40}

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 = \frac{17}{20}

y = 1 - x - x^{2}

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

y = \frac{6 x}{7} \frac{4 x}{3}

y = + 6 x^{2} - 54 x + 120

y = 9 x^{2}