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