To find: The center, vertices and foci of the identified conic
Hyperbola; Center:
Given information:
Equation of conic:
Formula used:
The standard equation of the hyperbola is
Foci is
Center is
Vertices is
Pythagorean relation:
Calculation:
The equation
Compare the equation with the standard equation of the hyperbola.
Center is
Substitute
Take square root on both sides of the equation.
Substitute
Therefore, foci is
Substitute
Therefore, vertices is
Draw the graph as follows:
Hence, the given equation of conic is a hyperbola, center is
Chapter 8 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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