What is the axis y=2x^2-5x-6 ?

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

axis y=2x^2-5x-6

axis

y = 2 x^{2} - 5 x - 6

x = \frac{5}{4}

Solution steps

y = 2 x^{2} - 5 x - 6

Rewrite

y = 2 x^{2} - 5 x - 6

in the standard form

4 \cdot \frac{1}{8} (y - (- \frac{73}{8})) = (x - \frac{5}{4})^{2}

Therefore parabola properties are:

(h, k) = (\frac{5}{4}, - \frac{73}{8}), p = \frac{1}{8}

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{5}{4}

y = x^{2} - x - 2

y = - 2 x^{2} - 3

x = \frac{1}{8} y^{2}

y = x^{2} + 19 x + 60

y = 2 x^{2} + 8 x - 24