To write: The equation is parabola, an ellipse or a hyperbola.
Answer to Problem 24E
Parabola
Explanation of Solution
Given:
Since
Hence, the discriminant is 0 so equation is parabola.
To eliminate: The xy -term using rotation of axes.
Answer to Problem 24E
Explanation of Solution
Given:
Now eliminate the xy- term rotate the axes through an angle
Using trigonometry identity,
Using half-angle formula,
The Rotation of axes formula,
Substitute into given equation,
Expanding and simplify the like terms,
To graph: The parabola.
Explanation of Solution
Given:
As the equation of parabola that opens along the positive x -axis and has vertex
First draw graph
Chapter 11 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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