en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y=5-1/3 (x-3)^2

Solution

y = 5 - \frac{1}{3} (x - 3)^{2}

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 5

X Intercepts : (15 + 3, 0), (- 15 + 3, 0), Y Intercepts : (0, 2)

Vertex : Maximum (3, 5)

Inverse : - 3 x + 15 + 3, - - 3 x + 15 + 3

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

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

Range of

5 - \frac{1}{3} (x - 3)^{2} : f (x) \leq 5

Axis interception points of

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

X Intercepts

: (15 + 3, 0), (- 15 + 3, 0),

Y Intercepts

: (0, 2)

Vertex of

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

Maximum

(3, 5)

Inverse of

5 - \frac{1}{3} (x - 3)^{2} : - 3 x + 15 + 3, - - 3 x + 15 + 3

Graph

Popular Examples

f(x)=x^2ln(13-3x^2)

f (x) = x^{2} ln (13 - 3 x^{2})

f (t) = - 6 t^{2}

f(t)=sin(2arctan(t))

f (t) = sin (2 arctan (t))

f(x)=(3x+4)/(x^2+7x+12)

f (x) = \frac{3 x + 4}{x ^{2} + 7 x + 12}

f (x) = - 7 x^{2} + 4

Frequently Asked Questions (FAQ)

What is the y=5-1/3 (x-3)^2 ?
The y=5-1/3 (x-3)^2 is