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Derive the Equation of an Ellipse from the Foci

Instructions:

Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

Foci are:

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1. The equation of an ellipse is where c2 = a2 - b2. What is a equal to if the length of the major axis is 6?

2. If the larger denominator of the standard form of the equation is underneath the y-variable, then the major axis is:

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About This Quiz & Worksheet

The lesson that accompanies this assessment will explain how to use the foci of an ellipse to find the ellipse's equation. In conjunction with that lesson, use this assessment to test your understanding of ellipse equations and the procedures used to find them.

Quiz & Worksheet Goals

This assessment will test your understanding of:

  • Definitions of foci and ellipse
  • Variables of ellipse equations
  • The relationships between those variables

Skills Practiced

Skills that you will practice with this assessment include:

  • Information recall - access the knowledge you've gained regarding ellipse equations
  • Interpreting information - verify that you can review information regarding the length of the major axis and interpret it correctly
  • Defining key concepts - ensure that you can accurately define main phrases, such as foci and ellipse

Additional Learning

If you think you need a review of the procedures used to find the equation of an ellipse, complete the lesson called Derive the Equation of an Ellipse from the Foci. With this lesson, you will be able to review:

  • The coordinates of foci
  • The ellipse formula
  • A step-by-step example of the procedures used to find the equation
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