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How are the graphs of these ellipses similar and how are they different?
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The explanation how are the graphs of the ellipses
Answer to Problem 1RE
Solution:
Each equation represents an ellipse with a vertical major axis of length 30 units and horizontal minor axis of length 20 units. However, the first equation represents an ellipse centered at
Explanation of Solution
Given Information:
The equations of ellipse are
Use the formula,
If in the ellipse, the major axis is
Where; the center is
Consider the provided ellipses:
The First Ellipse
So, the ellipse has its center at
Length of the major axis is
The Second Ellipse:
The ellipse has its center at
Length of the major axis is
The graphs of the equations are sketched as:
Each equation represents an ellipse with a vertical major axis of length
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College Algebra
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- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageAlgebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage Learning
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