The function is
.
The function is a square root function.
\The standard form of the square root function is
.
Graph :
\Graph of the root function
:
\
The function is
.
Now substitute
instead of
in the standard square root function.
.
So
.
Horizontal shift :
, shift the graph of
a distance
units to the left.
Vertical stretch :
, stretch the graph of
vertically by a factor of
.
Reflection :
, reflect the graph of
about the
axis.
Vertical shift :
, shift the graph of
a distance
units upward.
Therefore,
is the graph of
shift
units to the left and next stretch vertically by a factor of
.
Now reflect about the
axis and shift
unit upward.
Graph :
\Graph of the function
.
(1) Draw the coordinate plane.
\(2) Graph of the function
.
(3) First shift the graph of
to a distance of
units to the left
(4) After that stretch the graph of
vertically by a factor of
.
(4) Next reflect the graph of
about the
axis.
(5) Now shift the graph of
to a distance of
unit upward.
.gif\")
Graph of the function
is
.gif\")