a.
To find: Which equation represents a hyperbola with a horizontal axis and vertical axis.
a.
Answer to Problem 4E
The given equation represents hyperbola with horizontal transverse axis.
Explanation of Solution
Given information:
The given equation is
Calculation:
The standard form of equation of hyperbola with centre at
The standard form of equation of hyperbola with centre at
The given equation is
Therefore, the given equation represents hyperbola with horizontal transverse axis.
Hence,
The given equation represents hyperbola with horizontal transverse axis.
b.
To find: Which equation represents a hyperbola with a horizontal axis and vertical axis.
b.
Answer to Problem 4E
The given equation represents hyperbola with vertical transverse axis.
Explanation of Solution
Given information:
The given equation is
Calculation:
The standard form of equation of hyperbola with centre at
The standard form of equation of hyperbola with centre at
The given equation is
Therefore, the given equation represents hyperbola with vertical transverse axis.
Hence,
The given equation represents hyperbola with vertical transverse axis.
c.
To find: Which equation represents a hyperbola with a horizontal axis and vertical axis.
c.
Answer to Problem 4E
The given equation represents hyperbola with vertical transverse axis.
Explanation of Solution
Given information:
The given equation is
Calculation:
The standard form of equation of hyperbola with centre at
The standard form of equation of hyperbola with centre at
The given equation is
Therefore, the given equation represents hyperbola with vertical transverse axis.
Hence,
The given equation represents hyperbola with vertical transverse axis.
d.
To find: Which equation represents a hyperbola with a horizontal axis and vertical axis.
d.
Answer to Problem 4E
The given equation represents hyperbola with horizontal transverse axis.
Explanation of Solution
Given information:
The given equation is
Calculation:
The standard form of equation of hyperbola with centre at
The standard form of equation of hyperbola with centre at
The given equation is
Therefore, the given equation represents hyperbola with horizontal transverse axis.
Hence,
The given equation represents hyperbola with horizontal transverse axis.
Chapter 9 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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