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Popular >

range of (x+2)^2

Solution

range

(x + 2)^{2}

Solution

f (x) \geq 0

+1

Interval Notation

[0, \infty)

Solution steps

Vertex of

(x + 2)^{2} :

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

domain of sqrt(x-3)domain

x - 3

slope of y=3x+1 slope

y = 3 x + 1

domain of (-6x+71)/(7x-46)domain

\frac{- 6 x + 71}{7 x - 46}

periodicity of f(x)=-6cos(3x)+4 periodicity

f (x) = - 6 cos (3 x) + 4

inverse of f(x)=6x+4 inverse

f (x) = 6 x + 4

Frequently Asked Questions (FAQ)

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