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Popular >

range of (x-3)^2+2

Solution

range

(x - 3)^{2} + 2

Solution

f (x) \geq 2

+1

Interval Notation

[2, \infty)

Solution steps

Vertex of

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

Minimum

(3, 2)

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}) = (3, 2)

f (x) \geq 2

Popular Examples

asymptotes of f(x)=(x^2)/(x-4)asymptotes

f (x) = \frac{x ^{2}}{x - 4}

domain of f(x)=((1-5t))/(6+t)domain

f (x) = \frac{( 1 - 5 t )}{6 + t}

inverse of f(x)=-2x^5-3 inverse

f (x) = - 2 x^{5} - 3

parity f(x)=2x^2-x parity

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

symmetry 1/2 x^2+2 symmetry

\frac{1}{2} x^{2} + 2

Frequently Asked Questions (FAQ)

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