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Popular Functions >

f(x)=(x-4)^2-3

Solution

f (x) = (x - 4)^{2} - 3

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 3

X Intercepts : (3 + 4, 0), (- 3 + 4, 0), Y Intercepts : (0, 13)

Vertex : Minimum (4, - 3)

Inverse : x + 3 + 4, - x + 3 + 4

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 3, \infty)

Solution steps

Domain of

(x - 4)^{2} - 3 : - \infty < x < \infty

Range of

(x - 4)^{2} - 3 : f (x) \geq - 3

Axis interception points of

(x - 4)^{2} - 3 :

X Intercepts

: (3 + 4, 0), (- 3 + 4, 0),

Y Intercepts

: (0, 13)

Vertex of

(x - 4)^{2} - 3 :

Minimum

(4, - 3)

Inverse of

(x - 4)^{2} - 3 : x + 3 + 4, - x + 3 + 4

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=(x-4)^2-3 ?
The f(x)=(x-4)^2-3 is