To find: The correct equation in standard form of the ellipse. Also, describe the student’s error.
The correct equation of the ellipse in standard form is
Given information: Equation of ellipse is
Graph of the ellipse is,
Formula used: The equation of the ellipse with vertices
Calculation:
Consider the graph of the ellipse as,
This implies that vertices of the ellipse are
Then the equation of the ellipse is,
But the student wrote the equation of this ellipse as,
The student did not put square on
Therefore, the correct equation of the ellipse in standard form is
Chapter 10 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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