Graph: xy = 12
1
xy = 12 is equivalent to y = 12/x.
The graph of this equation is called a
'hyperbola'.
Its asymptotes are the x and y axes.
Any equation of the form
is an inverse variation, and its graph will be a
hyperbola with asymptotes at the x and y axes.
2
The translation of
is
The asymptotes are x = h and y = k.
The domain is all reals except h.
The range is all reals except k.
x ≠ h
y ≠ k
3
asymptotes:
x=2
y=4
4
An equation of the form
will also have a graph that is a hyperbola.
Its asymptotes are:
5
Here's why x-asymptote:
y-asymptote:
6
asymptotes:
x = 3
y = 2
7