# Rotating Hyperbola : Is the Function an Hyperbola?

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Is the function c(x)=(x^2+4)/x an hyperbola ?

How would you rotate it 45 degrees in an anti clockwise direction ?

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is the function c(x)=(x^2+4)/x an hyperbola ?

How would you rotate it 45 degrees in an anti clockwise direction ?

Analysis: Let y=(x^2+4)/x, then . If we write it in the form of matrix, we have

(x y)

Now we consider the matrix, denoted by A, ...

#### Solution Summary

Matrices and eigenvalues are used to prove that a function is an hyperbola. The solution is detailed and well presented.

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