To find : Equations of three hyperbolas with horizontal transverse axes and asymptotes
The equations of the three hyperbolas are
Given information :
The hyperbolas have horizontal transverse axes and asymptotes
Explanation :
The equation of a hyperbola with horizontal transverse axes is
An equation of this form has vertices at
It is given that the asymptotes are
In order to find the equation of the hyperbolas with asymptotes
Put
The equation of one of the hyperbolas will be
Put
The equation of the other hyperbola will be
Put
The equation of the third hyperbola will be
The hyperbola stretches vertically when the values of
Chapter 8 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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