Concept explainers
To find:The standard equation of the ellipsewhen the vertices are
Answer to Problem 23E
The equation of the ellipse is
Explanation of Solution
Given information:
The vertices of the ellipse are
Calculation:
The vertices of the ellipse are
Therefore the center of the ellipse is at midpoint of the vertices.
So, the center of the ellipse is the point
The length of the major axis is the distance between the points
The length of the minor axis is
The major axis is horizontal. So, the general equation of the ellipse is
Use the formula of length of major axis.
Use the formula of length of minor axis.
Substitute
Therefore, the equation of the ellipse is
Chapter 9 Solutions
Precalculus with Limits: A Graphing Approach
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