Step 1:

The equation of hyperbola is $\"\"$

Find the center of the ellipse.

Standard form of the hyperbola transverse axis is vertical

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Compare between standard form of the hyperbola equation and equation of the hyperbola.

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Find the length of the transverse and conjugate axis.

Here, Vertices are

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The transverse axis is $\"\"$

The conjugate axis is $\"\"$

Substitute $\"\"$

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The transverse and conjugate axis $\"\"$

Find the slopes of the asymptotes.

The equations of the asymptotes for a vertical transverse axis hyperbola is $\"\"$ \ \ Substitute $\"\"$

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The slopes of the asymptotes $\"\"$

Graph the hyperbola.

Graph the hyperbola equation $\"\"$

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Solution:

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b) The transverse and conjugate axis $\"\"$ \ \

c) The slopes of the asymptotes $\"\"$

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