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Popular >

range of (x-6)^2

Solution

range

(x - 6)^{2}

Solution

f (x) \geq 0

+1

Interval Notation

[0, \infty)

Solution steps

Vertex of

(x - 6)^{2} :

Minimum

(6, 0)

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}) = (6, 0)

f (x) \geq 0

Popular Examples

inverse of f(x)= 1/((x-1))inverse

f (x) = \frac{1}{( x - 1 )}

inverse of 2x^2-5 inverse

2 x^{2} - 5

domain of f(x)= 1/(3-sqrt(25-x^2))domain

f (x) = \frac{1}{3 - 25 - x ^{2}}

slope of y=-4x-3 slope

y = - 4 x - 3

asymptotes of (3x-12)/(x^2-8x+16)asymptotes

\frac{3 x - 12}{x ^{2} - 8 x + 16}

Frequently Asked Questions (FAQ)

What is the range of (x-6)^2 ?
The range of (x-6)^2 is f(x)>= 0