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Popular >

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

Solution

range

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

Solution

f (x) \geq 4

+1

Interval Notation

[4, \infty)

Solution steps

Vertex of

(x - 2)^{2} + 4 :

Minimum

(2, 4)

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, 4)

f (x) \geq 4

Popular Examples

line (4,-8),(8,5)line

(4, - 8), (8, 5)

domain of f(x)= 6/(x-1)domain

f (x) = \frac{6}{x - 1}

perpendicular y=-7x,(35,12)perpendicular

y = - 7 x, (35, 12)

asymptotes of f(x)= x/(x^2)asymptotes

f (x) = \frac{x}{x ^{2}}

inverse of sin(θ)inverse

sin (θ)

Frequently Asked Questions (FAQ)

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