a.
To find: The standard form of the equation of hyperbola
a.
Answer to Problem 44CR
The standard form of the equation of hyperbola is
Explanation of Solution
Given information:
The given expression is
Calculation:
By completing the square, write the original equation in standard form
Therefore, the standard form of the equation of hyperbola is
b.
To find: The center, vertices, foci and asymptotes of the hyperbola
b.
Answer to Problem 44CR
The center, vertices, foci and asymptotes of the hyperbola are
Explanation of Solution
Given information:
The given expression is
The standard form of the equation of hyperbola is
Determine the value of
The transverse axis is vertical where,
The center, vertices, foci and asymptote of the hyperbola can be obtained as,
The center of the hyperbola is
The vertices of the hyperbola is
The foci of the hyperbola is
The eccentricity
Therefore, the center, vertices, foci and asymptotes of the hyperbola are
c.
To graph: The equation of hyperbola
c.
Explanation of Solution
Given information:
The given expression is
Graph:
Interpretation: The equation is plotted and the graph is obtained
Chapter 9 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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