Write the equation of a hyperbola given the vertices and conjugate axis length

Write the equation of a hyperbola given the vertices and conjugate axis length

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to plot points and estimate values on a graph, focusing on understanding the transverse and conjugate axes. It covers identifying the horizontal transverse axis, calculating distances from the center to vertices, and understanding the conjugate axis. The tutorial concludes with forming an equation using the derived values of a squared and b squared.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What can you determine about the transverse axis if the vertices lie on it?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you find the center of the graph based on the given information?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the distance from the center to the vertices and the value of 'a'?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to calculate the value of 'B' from the conjugate axis.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final equation derived from the values of 'a' and 'B'?

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