how to sketch the graph of a hyperbola in conic sections

how to sketch the graph of a hyperbola in conic sections

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to rewrite a hyperbola equation in conic section form, identify key parameters (a, b, c), and determine the center of the hyperbola. It covers finding the transverse axis, vertices, and foci, and provides tips for estimating square roots. The tutorial concludes with instructions on graphing asymptotes and sketching the hyperbola.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the conic section form of the hyperbola discussed in the text?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the values of a, b, and c for the hyperbola?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the center of the hyperbola and how is it determined?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the significance of the transverse axis in the context of the hyperbola.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How are the vertices of the hyperbola calculated?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the equation of the asymptotes for the hyperbola?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of graphing the hyperbola as mentioned in the text.

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