What is the vertices f(x)=-x^2+8x-12 ?

The vertices f(x)=-x^2+8x-12 is Maximum (4,4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

vertices f(x)=-x^2+8x-12

vertices

f (x) = - x^{2} + 8 x - 12

Maximum (4, 4)

Solution steps

y = - x^{2} + 8 x - 12

The parabola parameters are:

a = - 1, b = 8, c = - 12

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

x_{v} = - \frac{8}{2 ( - 1 )}

Simplify

- \frac{8}{2 ( - 1 )} : 4

x_{v} = 4

Plug in

x_{v} = 4

to find the

y_{v}

value

y_{v} = 4

Therefore the parabola vertex is

(4, 4)

a < 0,

then the vertex is a maximum value

a > 0,

then the vertex is a minimum value

a = - 1

Maximum (4, 4)

x^{2} - 6 x + 8

y = - 4 x^{2} - 24 x - 40

f (x) = x^{2} + 6 x + 9

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

f (x) = x^{2} + 5 x + 4

What is the vertices f(x)=-x^2+8x-12 ?
The vertices f(x)=-x^2+8x-12 is Maximum (4,4)