By using rotation and translation, obtain the standart equation of the $$ 5 x^{2}+4 x y+8 y^{2}-16 x+8 y-16-0 $$ and sketch the curve in $x^{\prime \prime} y^{\prime \prime}$-system.

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A: the solution is an given below :

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A:

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A: Your question is about plot the graph for these function.  Let's plot all one by one

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Q: hyperbolic

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