What is the axis y=84x-x^2 ?

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

axis y=84x-x^2

axis

y = 84 x - x^{2}

x = 42

Solution steps

y = 84 x - x^{2}

Rewrite

y = 84 x - x^{2}

in the standard form

4 (- \frac{1}{4}) (y - 1764) = (x - 42)^{2}

Therefore parabola properties are:

(h, k) = (42, 1764), 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 = 42

(y + 6)^{2} = 12 (x + 1)

y^{2} - 4 x = 0

x^{2} - y = 0

y = 2250 (0.015 - 0.001 x)^{2} + 6000 x

y - 2 = 3 (x - 5)^{2}