To graph: The number of solutions of the system that the two hyperbola one with a vertical transverse axis and other with a horizontal transverse axis represents.
Given information:
A coordinated grid contains two hyperbolas centered at the origin, one with a vertical transverse axis and other with a horizontal transverse axis represent.
Calculation:
The transverse axis is the axis of the hyperbola which passes through its two vertices. Notice that if
Hence, the system either has no solutions or it has four solutions (because a system of two equations with two unknowns can have at most
The number of solutions could be
The system can have no solutions, for example
The two hyperbolas don't intersect.
The system can also have four solutions, for example
The two hyperbolas intersect at four points
Interpretation:
The two hyperbolas don't intersect.
The two hyperbolas intersect at four points
To graph The two hyperbolas don't intersect
Given information : The two hyperbolas don't intersect.
Graph :
Interpretation : The two hyperbolas don't intersect.
To graph The two hyperbolas intersect at four points
Given information : The two hyperbolas intersect at four points
Graph :
Interpretation : The two hyperbolas intersect at four points
Chapter 8 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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