en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

range of-(x+5)^2+4

Solution

range

- (x + 5)^{2} + 4

Solution

f (x) \leq 4

+1

Interval Notation

(- \infty, 4]

Solution steps

Vertex of

- (x + 5)^{2} + 4 :

Maximum

(- 5, 4)

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}) = (- 5, 4)

f (x) \leq 4

Popular Examples

intercepts of f(x)=(x-1)^3(x+3)^2 intercepts

f (x) = (x - 1)^{3} (x + 3)^{2}

parity f(x)=sin(x)parity

f (x) = sin (x)

range of 3x^2+6x+2 range

3 x^{2} + 6 x + 2

domain of x^2-3x domain

x^{2} - 3 x

asymptotes of y=(x^3-x)/(1-3x^2)asymptotes

y = \frac{x ^{3} - x}{1 - 3 x ^{2}}

Frequently Asked Questions (FAQ)

What is the range of-(x+5)^2+4 ?
The range of-(x+5)^2+4 is f(x)<= 4