To find:the center, vertices, foci, and the equation of the asymptotes of the hyperbola. And sketch hyperbola using asymptotes.
Answer to Problem 21E
Thehyperbola has centerat
Explanation of Solution
Given information:
The given equation is
Calculation:
The standard form of the hyperbola is
Rearrange the equation (1).
Compare the equation (1) and (2).
The center is at
Calculate the value of
The vertices are
Then the vertices will be
And the foci will be
Calculate the equation of the asymptotes of the hyperbola.
The graph for the asymptotes is shown in figure (1).
Figure (1)
The graph of
Figure (2)
Therefore, the hyperbola has centerat
Chapter 10 Solutions
EBK PRECALCULUS W/LIMITS
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