en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y=-2(x-3)^2+5

Solution

y = - 2 (x - 3)^{2} + 5

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 5

X Intercepts : (\frac{5}{2} + 3, 0), (- \frac{5}{2} + 3, 0), Y Intercepts : (0, - 13)

Vertex : Maximum (3, 5)

Inverse : - \frac{x - 5}{2} + 3, - - \frac{x - 5}{2} + 3

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 5]

Solution steps

Domain of

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

Range of

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

Axis interception points of

- 2 (x - 3)^{2} + 5 :

X Intercepts

: (\frac{5}{2} + 3, 0), (- \frac{5}{2} + 3, 0),

Y Intercepts

: (0, - 13)

Vertex of

- 2 (x - 3)^{2} + 5 :

Maximum

(3, 5)

Inverse of

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

Popular Examples

f(x)=2cos(x)-sqrt(3)

f (x) = 2 cos (x) - 3

f (x) = - x^{2} - 8 x + 3

f (y) = 9 y

f (x) = \frac{2 x}{4} - 2

y = ∣ 5 x ∣

Frequently Asked Questions (FAQ)

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