The function is
.
The function is a square root function.
\The standard form of the square root function is
.
Graph :
\Graph of the modulus function
:
.gif\")
The function is
.
Compare the above function with standard square root function.
\So
.
Vertical shift :
, shift the graph of
a distance
units downward.
Therefore,
is the graph of
shift to a distance of
unit downward.
Graph :
\Graph of the function
.
(1) Draw the coordinate plane.
\(2) Graph of the function
.
(3) Shift the graph of
to a distance of
unit downward.

The function is
.
The function is a modulus function.
\For a modulus function, all negative values of
are considered as positive.
So the portion of below
axis is reflected about the
axis.
Graph :
\Graph of the function
:
(1) Draw the coordinate plane.
\(2) Graph of the function
.
(3) The portion below
axis is reflected about the
axis.

Graph of the function
is
.