en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 1

X Intercepts : (\frac{1}{3} - 2, 0), (- \frac{1}{3} - 2, 0), Y Intercepts : (0, - 11)

Vertex : Maximum (- 2, 1)

Inverse : - \frac{x - 1}{3} - 2, - - \frac{x - 1}{3} - 2

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 1]

Solution steps

Domain of

- 3 (x + 2)^{2} + 1 : - \infty < x < \infty

Range of

- 3 (x + 2)^{2} + 1 : f (x) \leq 1

Axis interception points of

- 3 (x + 2)^{2} + 1 :

X Intercepts

: (\frac{1}{3} - 2, 0), (- \frac{1}{3} - 2, 0),

Y Intercepts

: (0, - 11)

Vertex of

- 3 (x + 2)^{2} + 1 :

Maximum

(- 2, 1)

Inverse of

- 3 (x + 2)^{2} + 1 : - \frac{x - 1}{3} - 2, - - \frac{x - 1}{3} - 2

Popular Examples

f(m)=9m^3+18m^2-4m-8

f (m) = 9 m^{3} + 18 m^{2} - 4 m - 8

f(x)=(x^3)/((x^2+1))

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

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

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

y=(4x^2-1/2 x)(9x+8)

y = (4 x^{2} - \frac{1}{2} x) (9 x + 8)

f(x)=log_{3}(2x+1)

f (x) = lo g_{3} (2 x + 1)

Frequently Asked Questions (FAQ)

What is the f(x)=-3(x+2)^2+1 ?
The f(x)=-3(x+2)^2+1 is