1. Sketch the following hyperbolas with the features given in the table:

 
y-intercept
x-intercept
horizontal asymptote
vertical asymptote
a.
(0, -2)
none
y = 0
x = 2
b.
(0, 6)
none
y = 0
x = -1
c.
(0, 2)

(2, 0)

y = -2
x = -2
d.
(0, -1)
(-3, 0)
y = 1
x = 3

2. Give the equations of the four hyperbolas given above.

3. Sketch the following hyperbolas, clearly marking intercepts, asymptotes and plot extra points to ensure accurate shape.

a. xy = 4

b. xy = -8

c. 

d. 

e. 

f.