To Find: The equation of a conic from the given figure.
Answer to Problem 5T
The equation of as shifted conic is
Explanation of Solution
Definition Used:
“The equation of shifted ellipse with center
has the major axis is
Calculation:
From the given graph, it is observed that the graph is a vertical ellipse with vertices
Let
Since, the midpoint of the vertices is the center of the ellipse compute the midpoint.
Therefore, the center of the ellipse is
Compute the distance between the vertices.
By the above definition (1), compute the equation of the shifted ellipse.
Thus, from the given graph of ellipse the point
Substitute
Substitute
Therefore, the required equation of conic is
Chapter 11 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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