To find: The type of
The equation
Given information: The given equation is
Formula used: The general second-degree equation
The type of conic is a circle if
The type of conic is an ellipse if
The type of conic is a parabola if
The type of conic is a hyperbola if
Calculation:
Consider the given equation.
Compare the above equation with the general equation of the conic.
Substitute
Since
Rewrite the given equation in the standard form.
The circle had center at
Drawn the graph of the circle using the above conditions.
Figure (1)
Therefore, the equation
Chapter 8 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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