Hyperbolas (Vertical)

Topic:
Hyperbola

Question 1

How do you determine the center of the hyperbola?

Question 2

Write a rule describing how to find the vertices of the hyperbola based on your coordinates in question 1.

Question 3

Write a rule describing how to find the foci of the hyperbola based on your coordinates in question 1.

Question 4

Just like the horizontal hyperbola, the branches of the vertical hyperbola get close to, but never actually touch the slant asymptotes. Determine the equations of these two lines.

Question 5

What is the equation of the hyperbola in "Hyperbola Equation #1"?

Check all that apply

Question 6

What are the slopes of the asymptotes in "Hyperbola Equation #1"?

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Question 7

Determine the equation of the hyperbola in "Hyperbola Equation #2." Also, give the equations of the asymptotes.