1f(x) = 6/x

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## 1

Graph the rational function:

1f(x) = 6/x

 x f(x) = 6/x −6 −3 −2 −1 1 2 3 6 −1 −2 −3 −6 6 3 2 1

The center of the hyperbola is: (0, 0)

## 2

Graph the rational function and determine its center:

f(x) = 6/x moves up 3 units.

The center of the hyperbola is: (0, 3)

## 3

Graph the rational function and determine its center:

f(x) = 6/x is shifted down 3 units.

The center of the hyperbola is: (0, −3)

## 4

Graph the rational function and determine its center:

f(x) = 6/x is shifted left 3 units.

The center of the hyperbola is: (−3, 0)

## 5

Graph the rational function and determine its center:

f(x) = 6/x is shifted to the right 3 units.

The center of the hyperbola is: (3, 0)

## 6

Graph the rational function and determine its center:

f(x) = 6/x is shifted to the right 3 units and up 4.

The center of the hyperbola is: (3, 4)

## 7

Graph the rational function and determine its center:

f(x) = 6/x is shifted to the left 1 unit and 3 units upward.

The center of the hyperbola is: (−1, 3)

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