How to graph an ellipse with the center at the origin

How to graph an ellipse with the center at the origin

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to graph an ellipse by identifying key components such as the center, vertices, and foci. It begins with understanding the equation of the ellipse and determining the largest denominator to find a^2 and b^2. The center is identified as (0,0) since the equation lacks h and k values. The tutorial then explains how to find the vertices and foci by determining the major axis, which is horizontal in this case. Finally, the video demonstrates plotting the ellipse and labeling the center, vertices, co-vertices, and foci.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the equation of the ellipse discussed in the text?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the values of A and B from the ellipse equation?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the formula used to find C squared in relation to A and B?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the coordinates of the center of the ellipse?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you identify the major axis of the ellipse?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the distance of the vertices from the center of the ellipse?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to find the foci of the ellipse based on the given information.

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