What is the vertices x^2+3x-4 ?

The vertices x^2+3x-4 is Minimum (-3/2 ,-25/4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

vertices x^2+3x-4

vertices

x^{2} + 3 x - 4

Minimum (- \frac{3}{2}, - \frac{25}{4})

Solution steps

y = x^{2} + 3 x - 4

The parabola parameters are:

a = 1, b = 3, c = - 4

x_{v} = - \frac{b}{2 a}

x_{v} = - \frac{3}{2 \cdot 1}

Simplify

x_{v} = - \frac{3}{2}

Plug in

x_{v} = - \frac{3}{2}

to find the

y_{v}

value

y_{v} = - \frac{25}{4}

Therefore the parabola vertex is

(- \frac{3}{2}, - \frac{25}{4})

a < 0,

then the vertex is a maximum value

a > 0,

then the vertex is a minimum value

a = 1

Minimum (- \frac{3}{2}, - \frac{25}{4})

y = (x - 1)^{2}

(x - 3)^{2} = 8 (y + 5)

f (x) = - 3 x^{2} + 6 x - 4

f (x) = x^{2} - 3 x + 1

f (x) = - 2 x^{2} - 12 x - 20