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Popular Functions >

range of (x-2)^2+3

Solution

range

(x - 2)^{2} + 3

Solution

f (x) \geq 3

+1

Interval Notation

[3, \infty)

Solution steps

Vertex of

(x - 2)^{2} + 3 :

Minimum

(2, 3)

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, 3)

f (x) \geq 3

Graph

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Frequently Asked Questions (FAQ)

What is the range of (x-2)^2+3 ?
The range of (x-2)^2+3 is f(x)>= 3