The function is .
The function is a reciprocal function.
\The standard form of the reciprocal function is .
Graph :
\Graph of the reciprocal function :
The function is .
Now substitute instead of
in the standard reciprocal function.
So .
Horizontal stretch : , stretch the graph of
horizontally by a factor of
.
Vertical shift : , shift the graph of
a distance
units downward.
Therefore, is the graph of
stretched horizontally by a factor of
and shift
units downward.
Graph :
\Graph of the function .
(1) Draw the coordinate plane.
\(2) Graph of the function .
(3) The graph of stretched horizontally by a factor of
and shift
units downward.
\
Graph of the function is