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Popular Functions >

y=2(x+2)^2-4

Solution

y = 2 (x + 2)^{2} - 4

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 4

X Intercepts : (2 - 2, 0), (- 2 - 2, 0), Y Intercepts : (0, 4)

Vertex : Minimum (- 2, - 4)

Inverse : \frac{x + 4}{2} - 2, - \frac{x + 4}{2} - 2

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 4, \infty)

Solution steps

Domain of

2 (x + 2)^{2} - 4 : - \infty < x < \infty

Range of

2 (x + 2)^{2} - 4 : f (x) \geq - 4

Axis interception points of

2 (x + 2)^{2} - 4 :

X Intercepts

: (2 - 2, 0), (- 2 - 2, 0),

Y Intercepts

: (0, 4)

Vertex of

2 (x + 2)^{2} - 4 :

Minimum

(- 2, - 4)

Inverse of

2 (x + 2)^{2} - 4 : \frac{x + 4}{2} - 2, - \frac{x + 4}{2} - 2

Graph

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

Frequently Asked Questions (FAQ)

What is the y=2(x+2)^2-4 ?
The y=2(x+2)^2-4 is