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Popular >

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

Solution

range

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

Solution

f (x) \geq - 5

+1

Interval Notation

Solution steps

Vertex of

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

Minimum

(2, - 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 = \frac{2}{3},

Vertex

(x_{v}, y_{v}) = (2, - 5)

f (x) \geq - 5

Graph

Popular Examples

domain of f(x)=(-3x^2+8x)/(3x+4)domain

f (x) = \frac{- 3 x ^{2} + 8 x}{3 x + 4}

asymptotes of 15x^{2/3}-10x asymptotes

15 x^{\frac{2}{3}} - 10 x

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

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

domain of f(x)= 1/(sqrt(16-x^2))domain

f (x) = \frac{1}{16 - x ^{2}}

asymptotes of f(x)= 6/((x-5)^3)asymptotes

f (x) = \frac{6}{( x - 5 ) ^{3}}

Frequently Asked Questions (FAQ)

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