Find the equation of a hyperbola with foci and vertices

Find the equation of a hyperbola with foci and vertices

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to identify the vertices and foci of a graph, determine the transverse axis, and find the center using the midpoint formula. It then guides through calculating the values of A and C, setting up the equation, and solving for B. The tutorial concludes with finalizing and verifying the equation.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the transverse axis in the context of conic sections?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you determine the center of a conic section using the midpoint formula?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to find the values of A and C in the context of the given conic section.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between A, B, and C in the equation A^2 + B^2 = C^2?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you calculate B^2 if A^2 is known and C^2 is given?

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