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Popular Functions >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 1

X Intercepts : (\frac{1}{2} + 2, 0), (- \frac{1}{2} + 2, 0), Y Intercepts : (0, 7)

Vertex : Minimum (2, - 1)

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, \infty)

Solution steps

Domain of

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

Range of

2 (x - 2)^{2} - 1 : f (x) \geq - 1

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, 7)

Vertex of

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

Minimum

(2, - 1)

Inverse of

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

Graph

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Frequently Asked Questions (FAQ)

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