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Popular >

range of-x^2-4x+4

Solution

range

- x^{2} - 4 x + 4

Solution

f (x) \leq 8

+1

Interval Notation

(- \infty, 8]

Solution steps

Vertex of

- x^{2} - 4 x + 4 :

Maximum

(- 2, 8)

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}) = (- 2, 8)

f (x) \leq 8

Popular Examples

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

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

inverse of 1/5 x+2 inverse

\frac{1}{5} x + 2

range of 2/(1-\frac{1){x-2}}range

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

extreme 1/(1+cos(x))extreme points

\frac{1}{1 + cos ( x )}

asymptotes of f(x)=(x^8)/(x^2+6)asymptotes

f (x) = \frac{x ^{8}}{x ^{2} + 6}

Frequently Asked Questions (FAQ)

What is the range of-x^2-4x+4 ?
The range of-x^2-4x+4 is f(x)<= 8