Problem 4.1: Is the transverse axis of this hyperbola horizontal or vertical: -

+

= 1. [Solution]

Problem 4.2: Find a, b, and c of the following hyperbola: 5x² -3y² - 20x + 6y + 2 = 0. [Solution]

Problem 4.3: The eccentricity of a hyperbola with center (0, 0) and focus 5, 0) is

. What is the standard equation for the hyperbola? [Solution]

Problem 4.4: Find the asymptotes of the hyperbola

-

= 1. [Solution]

Problem 4.5: The transverse axis of a hyperbola is horizontal. One of the asymptotes is y =

x + 5. What is the standard equation of the hyperbola? [Solution]