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Popular >

f(x)=(x+3)^2-7

Solution

f (x) = (x + 3)^{2} - 7

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 7

X Intercepts : (7 - 3, 0), (- 7 - 3, 0), Y Intercepts : (0, 2)

Vertex : Minimum (- 3, - 7)

Inverse : x + 7 - 3, - x + 7 - 3

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 7, \infty)

Solution steps

Domain of

(x + 3)^{2} - 7 : - \infty < x < \infty

Range of

(x + 3)^{2} - 7 : f (x) \geq - 7

Axis interception points of

(x + 3)^{2} - 7 :

X Intercepts

: (7 - 3, 0), (- 7 - 3, 0),

Y Intercepts

: (0, 2)

Vertex of

(x + 3)^{2} - 7 :

Minimum

(- 3, - 7)

Inverse of

(x + 3)^{2} - 7 : x + 7 - 3, - x + 7 - 3

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Frequently Asked Questions (FAQ)

What is the f(x)=(x+3)^2-7 ?
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