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^2+2x+3

Solution

range

y = - x^{2} + 2 x + 3

Solution

f (x) \leq 4

+1

Interval Notation

(- \infty, 4]

Solution steps

Vertex of

- x^{2} + 2 x + 3 :

Maximum

(1, 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}) = (1, 4)

f (x) \leq 4

Graph

Popular Examples

asymptotes of (8x-8)/(x+2)

domain of f(x)=sqrt(2x+9)

asymptotes of (x^2+x-1)/x

distance (1,0),(1,-4)

domain of (x/(x+2))/(x/(x+2)+2)

Frequently Asked Questions (FAQ)

What is the range of y=-x^2+2x+3 ?
The range of y=-x^2+2x+3 is f(x)<= 4