en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

range of f(x)=(x+20)^2-30

Solution

range

f (x) = (x + 20)^{2} - 30

Solution

f (x) \geq - 30

+1

Interval Notation

[- 30, \infty)

Solution steps

Vertex of

(x + 20)^{2} - 30 :

Minimum

(- 20, - 30)

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}) = (- 20, - 30)

f (x) \geq - 30

Popular Examples

inverse of f(x)=\sqrt[3]{6x-5}inverse

intercepts of y=2x-4 intercepts

y = 2 x - 4

shift f(x)=cos(1/2 x)shift

f (x) = cos (\frac{1}{2} x)

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

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

range of f(x)=x^2-6x+8 range

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

Frequently Asked Questions (FAQ)

What is the range of f(x)=(x+20)^2-30 ?
The range of f(x)=(x+20)^2-30 is f(x)>=-30