How to find the foci, center and vertices, and asymptotes of a hyperbola

How to find the foci, center and vertices, and asymptotes of a hyperbola

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Quizizz Content

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The video tutorial covers the process of transforming an equation into its standard form, plotting asymptotes, and sketching the graph. It begins with combining and rearranging terms, followed by completing the square. The tutorial then simplifies the equation, identifies the center and vertices, and calculates the foci. Finally, it determines the asymptotes, providing a comprehensive guide to graphing hyperbolas.

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10 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the first step in determining the orientation of a parabola?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of completing the square for the equation provided.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the importance of the standard form of a hyperbola.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the center in the context of hyperbolas?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean for a hyperbola to have a vertical transverse axis?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the vertices of a hyperbola?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you find the foci of a hyperbola?

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