To find:the standard form of the equation of the hyperbola.
Answer to Problem 45E
Thestandard form of the equation of the hyperbola with vertices
Explanation of Solution
Given information:
The given vertices are
The asymptotes are
Calculation:
The vertices are
The asymptotes are
The transverse axis of the hyperbola is horizontal.
Calculate the standard equation of the hyperbola.
The center of hyperbola is at midpoint of the line segment joining the vertices.
Calculate the midpoint between the points
The center is
Substitute the value of
Calculate the value of
Using the equation of asymptotes of the hyperbola.
The asymptotes given are
Rearranging the above equation.
Compare the equation (3) with equation (2).
The standard form of the equation.
Therefore, thestandard form of the equation of the hyperbola with vertices
Chapter 10 Solutions
EBK PRECALCULUS W/LIMITS
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