en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 5

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

Vertex : Maximum (- 2, 5)

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 5]

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, - 3)

Vertex of

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

Maximum

(- 2, 5)

Inverse of

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

Popular Examples

f(x)=-x^2*sqrt(x+5)

f (x) = - x^{2} \cdot x + 5

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

f(x)=3cos(pi/3 x+pi/2)-2

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

y=ln(sqrt(x^2+1)+sqrt(x))-arcsinh(x)

y = ln (x^{2} + 1 + x) - arcsinh (x)

f (x) = 10 x^{2} - x^{4}

Frequently Asked Questions (FAQ)

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