How to write the equation of a hyperbola given the asymptotes and vertical transverse axis

How to write the equation of a hyperbola given the asymptotes and vertical transverse axis

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the topic of hyperbolas, focusing on the vertical transverse axis. It explains the equation of hyperbolas, emphasizing the importance of memorizing the formula as it won't be available during tests. The tutorial also discusses the concept of asymptotes and how to derive their equations. It guides students through solving for variables A, B, H, and K, providing a step-by-step approach to formulating the final equation. The session concludes with a Q&A segment to clarify any doubts.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to derive the equation of the asymptote from the given hyperbola parameters.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the values H and K in the hyperbola equation?

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