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The teachers  The criterion is given by a quotient between polynomials: The domain is equal to , minus the values of x that would annul the denominator.

The functions of the type has a hyperbola in its graph.

Also, hyperbolas are the graphs of the functions .

The simplest hyperbola is represented with the equation .

Its asymptotes are the axes.

The center of the hyperbola, which is where the asymptotes intersect, is the origin.  ## 1. Vertical Translation The center of the hyperbola is (0, a).

If a>0, moves upward a units.  The center of the hyperbola is: (0, 3)

If a<0, moves down a units.  The center of the hyperbola is: (0, −3)

## 2. Horizontal Translation The center of the hyperbola is: (−b, 0).

If b> 0, is shifted to the left b units.  The center of the hyperbola is: (−3, 0)

If b<0, is shifted to the right b units.  The center of the hyperbola is: (3, 0)

## 3. Oblique Translation The center of the hyperbola is: (−b, a).  The center of the hyperbola is: (3, 4).

To graph hyperbolas of the type: It is divided and is written as: Its graph is a hyperbola with a center (−b, a) and asymptotes parallel to the axes.    The center of the hyperbola is: (−1, 3).

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Emma

I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.

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