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

The vertices y=-x^2+4x-3 is Maximum (2,1)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

vertices y=-x^2+4x-3

vertices

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

Maximum (2, 1)

Solution steps

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

The parabola parameters are:

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

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

x_{v} = - \frac{4}{2 ( - 1 )}

Simplify

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

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

Maximum (2, 1)

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

- x^{2} - 4 x - 2

y = x^{2} - 6 x + 5

x^{2} - 4 x + 3

f (x) = - 4 x^{2}