The function is
.
The function is a sine function.
\The standard form of the sine function is
.
Graph :
\Graph of the sine function
:
The function is
.
Now substitute
instead of
in the standard sine function.
.
So
.
Horizontal shrink:
, shrink the graph of
horizontally by a factor of
.
Vertical stretch:
, stretch the graph of
vertically by a factor of
.
Therefore,
is the graph of
shrink horizontally by a factor of
and stretch vertically by a factor of
.
Graph :
\Graph of the function
.
(1) Draw the coordinate plane.
\(2) Graph of the function
.
(3) Shrink the graph of
horizontally by a factor of
and stretch vertically by a factor of
.
Graph of the function
is
