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 :
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
.