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Popular >

range of 2(x-3)^2-5

Solution

range

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

Solution

f (x) \geq - 5

+1

Interval Notation

[- 5, \infty)

Solution steps

Vertex of

2 (x - 3)^{2} - 5 :

Minimum

(3, - 5)

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, - 5)

f (x) \geq - 5

Popular Examples

domain of sqrt(6x+12)domain

6 x + 12

inverse of f(x)=x^4+5 inverse

f (x) = x^{4} + 5

periodicity of f(x)=sin(2x)-cos(5x)periodicity

f (x) = sin (2 x) - cos (5 x)

asymptotes of f(x)=(20(2-x))/((x+4)^2)asymptotes

f (x) = \frac{20 ( 2 - x )}{( x + 4 ) ^{2}}

slope of 7x+4y=1 slope

7 x + 4 y = 1

Frequently Asked Questions (FAQ)

What is the range of 2(x-3)^2-5 ?
The range of 2(x-3)^2-5 is f(x)>=-5