What is the axis y=(x+2)(x-3) ?

The axis y=(x+2)(x-3) is x= 1/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

axis y=(x+2)(x-3)

axis

y = (x + 2) (x - 3)

x = \frac{1}{2}

Solution steps

y = (x + 2) (x - 3)

Rewrite

y = (x + 2) (x - 3)

in the standard form

4 \cdot \frac{1}{4} (y - (- \frac{25}{4})) = (x - \frac{1}{2})^{2}

Therefore parabola properties are:

(h, k) = (\frac{1}{2}, - \frac{25}{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{1}{2}

x = (- y - 1) (y + 3)

y = 2 (x - 1)^{2}

x^{2} + 7 x + 10

y^{2} - 4 y - 8 x - 12 = 0

y^{2} = 16 x - 8