(a)
\The function is
.
Compare the function with
.
Vertical stretch :
is the graph of
stretch vertically by a factor of
.
Graph :
\Graph of the function
.
(1) Draw the coordinate plane.
\(2) Graph the function
.
(3) Now stretch the graph of
vertically by a factor of
.

(b)
\The function is
.
Compare the function with
.
Vertical shift :
is the graph of
shift to a distance
unit upward.
Graph :
\Graph of the function
.
(1) Draw the coordinate plane.
\(2) Graph the function
.
(3) Now shift the graph of
to a distance
unit upward.
(a) Graph of the function
.
Stretch the graph of
vertically by a factor of
.

(b) Graph of the function
.
Shift the graph of
to a distance
unit upward.
.