Given the asymptotes and eccentricity write the equation of the hyperbola

Given the asymptotes and eccentricity write the equation of the hyperbola

Assessment

Interactive Video

Mathematics, Information Technology (IT), Architecture

11th Grade - University

Hard

Created by

Quizizz Content

FREE Resource

The video tutorial explains how to determine the center of a hyperbola given its asymptotes. It discusses the role of eccentricity in identifying the values of a, b, and c, and verifies these values using the equation a^2 + b^2 = c^2. The tutorial concludes by deriving the hyperbola's equation, emphasizing the choice between horizontal and vertical orientations based on the asymptote's form.

Read more

2 questions

Show all answers

1.

OPEN ENDED QUESTION

3 mins • 1 pt

What values are assigned to A, B, and C in the context of the equations discussed?

Evaluate responses using AI:

OFF

2.

OPEN ENDED QUESTION

3 mins • 1 pt

What type of equation is being derived, horizontal or vertical, and how do you know?

Evaluate responses using AI:

OFF