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Popular >

range of f(x)=2(x-3)^2-2

Solution

range

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

Solution

f (x) \geq - 2

+1

Interval Notation

[- 2, \infty)

Solution steps

Vertex of

2 (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 = 2,

Vertex

(x_{v}, y_{v}) = (3, - 2)

f (x) \geq - 2

Popular Examples

inverse of sqrt(2x+5)inverse

2 x + 5

range of 1/(x^2-16)range

\frac{1}{x ^{2} - 16}

domain of f(x)=(x-2)/(sqrt(x+3))domain

f (x) = \frac{x - 2}{x + 3}

inverse of g(x)=(-x+2)/7 inverse

g (x) = \frac{- x + 2}{7}

inverse of 6log_{5}(2x-6)inverse

6 lo g_{5} (2 x - 6)

Frequently Asked Questions (FAQ)

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