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Recover a vertical hyperbola from vertices and asymptotes

Find the equation of the hyperbola shown below.

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Centre(−1,2), vertices (−1,5),(−1,−1), asymptotes y=(3/4)x+11/4 and y=−(3/4)x+5/4. Find the hyperbola’s equation.
Centre(−1,2), vertices (−1,5),(−1,−1), asymptotes y=(3/4)x+11/4 and y=−(3/4)x+5/4. Find the hyperbola’s equation.
Centre(−1,2), vertices (−1,5),(−1,−1), asymptotes y=(3/4)x+11/4 and y=−(3/4)x+5/4. Find the hyperbola’s equation.

CJC · Lecture · Example 6

Read the distance from the centre to either vertex before using the asymptote gradient.

Read the worked solution