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.