(a)
To explain : The effects of the indicated change on the shape of the hyperbola and on the locations of the vertices and foci.
When we change
Given information :
The equation of hyperbola:
Explanation :
Given equation is
Rewrite the given equation in standard form.
The equation is now of the form
Determine the value of
The value of
In order to find the foci, substitute
The foci are at
Replace
Compare the equation
The value of
In order to find the foci, substitute
The foci are at
Thus, when we change
(b)
To explain : The effects of the indicated change on the shape of the hyperbola and on the locations of the vertices and foci.
When we change
Given information :
The equation of hyperbola:
Explanation :
Given equation is
Rewrite the given equation in standard form.
The equation is now of the form
Determine the value of
The value of
In order to find the foci, substitute
Thus, the vertices of the hyperbola are
Replace
Compare the equation
The value of
In order to find the foci, substitute
Thus, the vertices of the hyperbola are
Thus, when we change
Chapter 8 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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