en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

range of f(x)=x^2+4x+4

Solution

range

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

Solution

f (x) \geq 0

+1

Interval Notation

[0, \infty)

Solution steps

Vertex of

x^{2} + 4 x + 4 :

Minimum

(- 2, 0)

For a parabola

a x^{2} + b x + c

with Vertex

(x_{v}, y_{v})

If

a < 0

the range is

f (x) \leq y_{v}

If

a > 0

the range is

f (x) \geq y_{v}

a = 1,

Vertex

(x_{v}, y_{v}) = (- 2, 0)

f (x) \geq 0

Popular Examples

inverse of f(x)=7-2x^3 inverse

f (x) = 7 - 2 x^{3}

slope of 5x-y=2 slope

5 x - y = 2

inverse of f(x)=(3x+2)/x inverse

f (x) = \frac{3 x + 2}{x}

domain of f(x)=(x/(x+9))/(x/(x+9)+9)domain

f (x) = \frac{\frac{x}{x + 9}}{\frac{x}{x + 9} + 9}

domain of f(x)=8x-9 domain

f (x) = 8 x - 9

Frequently Asked Questions (FAQ)

What is the range of f(x)=x^2+4x+4 ?
The range of f(x)=x^2+4x+4 is f(x)>= 0