To find: The centre, vertices, foci, and asymptotes of the hyperbola, and sketch its graph using the asymptotes as an aid.
Answer to Problem 30E
The centre is
Explanation of Solution
Given information:
The given hyperbola is
Calculation:
The given hyperbola is
From the above equation it can be concluded that the hyperbola has a vertical transverse axis.
The centre of the hyperbola is
The vertices of the hyperbola is
The equation of the asymptotes are,
Now, find the foci by using the equation
Thus, the foci are
The sketch of the hyperbola is drawn below:
Now, verify the graph by graphing utility:
Hence,
The centre is
Chapter 9 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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