Step 1:

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The equation is\"\"

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So the equation is in the standard form of the hyperbola.

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Compare the above equation with \"\"

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The center of the hyperbola is\"\"

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\"\"

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Step 2:

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The hyperbola has a transverse axis parallel to \"\"axis.

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The foci of the hyperbola is \"\"

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The vertices of the hyperbola is \"\" \ \

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Graph :

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(1) Draw the coordinate plane.

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(2) Draw the equation of the hyperbola.

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(3) Plot the foci and vertices. \ \ \"image\"

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Solution :

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The center of the hyperbola is \"\"

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The hyperbola has a transverse axis parallel to \"\"axis.

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The vertices of the hyperbola is \"\"

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The foci of the hyperbola is \"\"