What is the vertices (x-1)(x-3) ?

The vertices (x-1)(x-3) is Minimum (2,-1)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

vertices (x-1)(x-3)

vertices

(x - 1) (x - 3)

Minimum (2, - 1)

Solution steps

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

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

The parabola parameters are:

a = 1, m = 1, n = 3

x_{v} = \frac{m + n}{2}

x_{v} = \frac{1 + 3}{2}

Simplify

x_{v} = 2

Plug in

x_{v} = 2

to find the

y_{v}

value

y_{v} = - 1

Therefore the parabola vertex is

(2, - 1)

a < 0,

then the vertex is a maximum value

a > 0,

then the vertex is a minimum value

a = 1

Minimum (2, - 1)

y = x^{2} - 8 x + 15

y^{2} = - 28 x

x^{2} - 4 x - 5

x^{2} - 7

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