en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

range of x^2+4x+4

Solution

range

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

distance (3,-6),(-3,2)distance

(3, - 6), (- 3, 2)

domain of f(x)=8x^2-14x+2 domain

f (x) = 8 x^{2} - 14 x + 2

inverse of f(x)=3sqrt(2x-1)inverse

f (x) = 3 2 x - 1

inverse of f(x)= 1/(x-11)inverse

f (x) = \frac{1}{x - 11}

domain of f(x)=sqrt(x+4)-2 domain

f (x) = x + 4 - 2

Frequently Asked Questions (FAQ)

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