IXL - Find properties of ellipses from equations in general form (Algebra 2 practice)

What is the center of the ellipse

–

Write your answer in simplified, rationalized form.

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question

What is the center of the ellipse

–

Write your answer in simplified, rationalized form.

key idea

The equation of an ellipse that has a horizontal orientation in standard form is

(

–

)

(

–

)

where

The center is

(

)

solution

To find the center, write the equation in standard form.

Make sure the terms with

and

are on the left side of the equation and the constant is on the right. Then, divide by the constant.

–

Find the

center.

Use the equation in standard form to identify the center.

(

–

)

(

–

)

The center is

(

)

which is the origin.

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Teacher tools

Work it out

Not feeling ready yet? These can help:

FF.6Convert equations of ellipses from general to standard form

FF.3Find the foci of an ellipse

FF.2Find the length of the major or minor axis of an ellipse

FF.1Find the center, vertices, or co-vertices of an ellipse

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