The function is .
The function is a tangent function.
\The standard form of the tangent function is .
Graph :
\Graph of the sine function :
The function is .
Now substitute instead of
in the standard tangent function.
So .
Horizontal shift : , shift the graph of
a distance
units to the right.
Vertical shrink : , shrink the graph of
vertically by a factor of
.
Therefore, is the graph of
first shift
degrees to the right and shrink vertically by a factor of
.
Graph :
\Graph of the function .
(1) Draw the coordinate plane.
\(2) Graph of the function .
(3) First shift the graph of
degrees to the right.
(4) Next shrink the graph of vertically by a factor of
.
Graph of the function is
.