Defining and Graphing Ellipses in Algebra


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question 1 of 3

Which letter stands for the radius in the x direction?

(x - h)^2/a^2 + (y - k)^2/b^2 = 1

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What is the center of this ellipse?

(x - 3)^2/4 + (y - 1)^2/9 = 1


How far away is the right side of the ellipse from the center?

(x - 5)^2/9 + (y + 9)^2/16 = 1

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About This Quiz & Worksheet

Do you know how to read the equation for an ellipse to find the center or the radius? This quiz will present you with a series of equations and graphs, and you'll need to answer questions about them.

Quiz & Worksheet Goals

Make sure you can correctly answer questions on the following:

  • Letter for the radius in the x direction
  • Center of the ellipse in a given equation
  • How far apart the right side and the center are in an ellipse, based on a given equation
  • Finding the appropriate equation for a given ellipse
  • What 'h' equals in a given ellipse

Skills Practiced

  • Problem solving - use acquired knowledge to solve practice problems involving ellipse equations
  • Interpreting information - verify you can read information regarding the equation for an ellipse and correctly interpret it to find the center
  • Knowledge application - use your knowledge to answer questions about graphing ellipses

Additional Learning

Continue your math studies with the associated lesson, which is called Defining and Graphing Ellipses in Algebra. This lesson will help you with the following study goals:

  • Define what an ellipse is
  • Identify the two different measurements for the radius of an ellipse
  • Appreciate how to graph an ellipse after using the ellipse equation