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Popular Functions >

f(x)=3(x-1)^2+9

Solution

f (x) = 3 (x - 1)^{2} + 9

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 9

Y Intercepts : (0, 12)

Vertex : Minimum (1, 9)

Inverse : \frac{x - 9}{3} + 1, - \frac{x - 9}{3} + 1

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [9, \infty)

Solution steps

Domain of

3 (x - 1)^{2} + 9 : - \infty < x < \infty

Range of

3 (x - 1)^{2} + 9 : f (x) \geq 9

Axis interception points of

3 (x - 1)^{2} + 9 :

Y Intercepts

: (0, 12)

Vertex of

3 (x - 1)^{2} + 9 :

Minimum

(1, 9)

Inverse of

3 (x - 1)^{2} + 9 : \frac{x - 9}{3} + 1, - \frac{x - 9}{3} + 1

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=3(x-1)^2+9 ?
The f(x)=3(x-1)^2+9 is