en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

range of y=(x-5)^2

Solution

range

y = (x - 5)^{2}

Solution

f (x) \geq 0

+1

Interval Notation

[0, \infty)

Solution steps

Vertex of

(x - 5)^{2} :

Minimum

(5, 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}) = (5, 0)

f (x) \geq 0

Graph

Popular Examples

parity f(x)= 1/x-x

inverse of 1/(a-2)

slope of y= 2/3 x+3

perpendicular y=3x-2,\at x=-1

extreme f(x)=sin(5t)

Frequently Asked Questions (FAQ)

What is the range of y=(x-5)^2 ?
The range of y=(x-5)^2 is f(x)>= 0