What is the axis y=x(x+3) ?

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

axis y=x(x+3)

axis

y = x (x + 3)

x = - \frac{3}{2}

Solution steps

y = x (x + 3)

Rewrite

y = x (x + 3)

in the standard form

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

Therefore parabola properties are:

(h, k) = (- \frac{3}{2}, - \frac{9}{4}), 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 = - \frac{3}{2}

x^{2} + 16 y = 0

y = (x - 8)^{2}

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

y^{2} + 6 y - 2 x + 13 = 0

y = 2 \cdot x^{2} + x - 2